LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 683/565, 732/948

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 683/565, 732/948 i.e 1/535620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 683/565, 732/948.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 683/565,732/948?

Given fractions are 683/565,732/948

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 683/565,732/948, numerators are 683,732

Denominators are 565,948

The GCF of 683,732 is 1 .

LCM of 565,948 is 535620.

The greatest common factor of 683/565,732/948 = [GCF of 683,732]/[LCM of 565,948]= 1/535620

Therefore, the GCF of 683/565,732/948 is 1/535620.

Greatest Common Factor of 683,732

To find the highest common factor of 683,732, we have to find the factors of both numbers and list the highest common factor.

The factors of 683 are 1, 683

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The HCF of 683,732 is 1.

Lets's calculate GCF of 683,732

Greatest Common Factor (GCF) of 683,732 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 683,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,732 By Matching Biggest Common Factor Method

Now, list down the factors of 683

:

1,683

Now, list down the factors of 732

:

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 683,732 . The biggest common factor number is the GCF number.
So the greatest common factor 683,732 is 1.

Lets's calculate LCM of 565,948

Lowest Common Multiple of 565,948 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 535620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/535620

Therefore, the GCF of Fractions 683/565,732/948 is 1/535620

Least Common Multiple of 565,948 with GCF Formula

Least Common Multiple of 565,948 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 565,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,948) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(565,948) x common factors =1 x 1 = 1

LCM(565,948) = ( 565 × 948 ) / 1

LCM(565,948) = 535620 / 1

LCM(565,948) = 535620


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 683/565, 732/948

1. What is the HCF of 683,732?

The HCF of 683,732 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 683/565, 732/948?

Answer: GCF of Numerators as per given numbers 683/565, 732/948 is

GCF of Numerators i.e. for 683,732 is 1

LCM of denominators i.e. for 565,948 is 535620.

Thus, GCF of Fractions is 1/535620.Finally, GCF of Fractions for 683/565, 732/948 is 1/535620.