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 562/320, 417/364

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 562/320, 417/364 i.e 1/29120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 562/320, 417/364.

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 562/320,417/364?

Given fractions are 562/320,417/364

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 562/320,417/364, numerators are 562,417

Denominators are 320,364

The GCF of 562,417 is 1 .

LCM of 320,364 is 29120.

The greatest common factor of 562/320,417/364 = [GCF of 562,417]/[LCM of 320,364]= 1/29120

Therefore, the GCF of 562/320,417/364 is 1/29120.

Greatest Common Factor of 562,417

To find the highest common factor of 562,417, we have to find the factors of both numbers and list the highest common factor.

The factors of 562 are 1, 2, 281, 562

The factors of 417 are 1, 3, 139, 417

The HCF of 562,417 is 1.

Lets's calculate GCF of 562,417

Greatest Common Factor (GCF) of 562,417 By Common Division

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

Greatest Common Factor of 562,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,417 By Matching Biggest Common Factor Method

Now, list down the factors of 562

:

1,2,281,562

Now, list down the factors of 417

:

1,3,139,417

Greatest Common Factor

We found the factors 562,417 . The biggest common factor number is the GCF number.
So the greatest common factor 562,417 is 1.

Lets's calculate LCM of 320,364

Lowest Common Multiple of 320,364 using Common Division

2 320, 364
2 160, 182
80, 91

∴ So the LCM of the given numbers is 2 x 2 x 80 x 91 = 29120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29120

Therefore, the GCF of Fractions 562/320,417/364 is 1/29120

Least Common Multiple of 320,364 with GCF Formula

Least Common Multiple of 320,364 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 320,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,364) = 4

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

GCF(320,364) x common factors =4 x 1 = 4

LCM(320,364) = ( 320 × 364 ) / 4

LCM(320,364) = 116480 / 4

LCM(320,364) = 29120


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 562/320, 417/364

1. What is the HCF of 562,417?

The HCF of 562,417 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 562/320, 417/364?

Answer: GCF of Numerators as per given numbers 562/320, 417/364 is

GCF of Numerators i.e. for 562,417 is 1

LCM of denominators i.e. for 320,364 is 29120.

Thus, GCF of Fractions is 1/29120.Finally, GCF of Fractions for 562/320, 417/364 is 1/29120.