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 431/80, 428/930

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 431/80, 428/930 i.e 1/7440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/80, 428/930.

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 431/80,428/930?

Given fractions are 431/80,428/930

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 431/80,428/930, numerators are 431,428

Denominators are 80,930

The GCF of 431,428 is 1 .

LCM of 80,930 is 7440.

The greatest common factor of 431/80,428/930 = [GCF of 431,428]/[LCM of 80,930]= 1/7440

Therefore, the GCF of 431/80,428/930 is 1/7440.

Greatest Common Factor of 431,428

To find the highest common factor of 431,428, we have to find the factors of both numbers and list the highest common factor.

The factors of 431 are 1, 431

The factors of 428 are 1, 2, 4, 107, 214, 428

The HCF of 431,428 is 1.

Lets's calculate GCF of 431,428

Greatest Common Factor (GCF) of 431,428 By Common Division

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

Greatest Common Factor of 431,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,428 By Matching Biggest Common Factor Method

Now, list down the factors of 431

:

1,431

Now, list down the factors of 428

:

1,2,4,107,214,428

Greatest Common Factor

We found the factors 431,428 . The biggest common factor number is the GCF number.
So the greatest common factor 431,428 is 1.

Lets's calculate LCM of 80,930

Lowest Common Multiple of 80,930 using Common Division

2 80, 930
5 40, 465
8, 93

∴ So the LCM of the given numbers is 2 x 5 x 8 x 93 = 7440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7440

Therefore, the GCF of Fractions 431/80,428/930 is 1/7440

Least Common Multiple of 80,930 with GCF Formula

Least Common Multiple of 80,930 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 80,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,930) = 10

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

GCF(80,930) x common factors =10 x 1 = 10

LCM(80,930) = ( 80 × 930 ) / 10

LCM(80,930) = 74400 / 10

LCM(80,930) = 7440


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 431/80, 428/930

1. What is the HCF of 431,428?

The HCF of 431,428 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 431/80, 428/930?

Answer: GCF of Numerators as per given numbers 431/80, 428/930 is

GCF of Numerators i.e. for 431,428 is 1

LCM of denominators i.e. for 80,930 is 7440.

Thus, GCF of Fractions is 1/7440.Finally, GCF of Fractions for 431/80, 428/930 is 1/7440.