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GCF of 422/82, 307/680

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 422/82, 307/680 i.e 1/27880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 422/82, 307/680.

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 422/82,307/680?

Given fractions are 422/82,307/680

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 422/82,307/680, numerators are 422,307

Denominators are 82,680

The GCF of 422,307 is 1 .

LCM of 82,680 is 27880.

The greatest common factor of 422/82,307/680 = [GCF of 422,307]/[LCM of 82,680]= 1/27880

Therefore, the GCF of 422/82,307/680 is 1/27880.

Greatest Common Factor of 422,307

To find the highest common factor of 422,307, we have to find the factors of both numbers and list the highest common factor.

The factors of 422 are 1, 2, 211, 422

The factors of 307 are 1, 307

The HCF of 422,307 is 1.

Lets's calculate GCF of 422,307

Greatest Common Factor (GCF) of 422,307 By Common Division

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

Greatest Common Factor of 422,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,307 By Matching Biggest Common Factor Method

Now, list down the factors of 422

:

1,2,211,422

Now, list down the factors of 307

:

1,307

Greatest Common Factor

We found the factors 422,307 . The biggest common factor number is the GCF number.
So the greatest common factor 422,307 is 1.

Lets's calculate LCM of 82,680

Lowest Common Multiple of 82,680 using Common Division

2 82, 680
41, 340

∴ So the LCM of the given numbers is 2 x 41 x 340 = 27880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27880

Therefore, the GCF of Fractions 422/82,307/680 is 1/27880

Least Common Multiple of 82,680 with GCF Formula

Least Common Multiple of 82,680 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 82,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,680) = 2

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

GCF(82,680) x common factors =2 x 1 = 2

LCM(82,680) = ( 82 × 680 ) / 2

LCM(82,680) = 55760 / 2

LCM(82,680) = 27880


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FAQs on GCF of Fractions of 422/82, 307/680

1. What is the HCF of 422,307?

The HCF of 422,307 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 422/82, 307/680?

Answer: GCF of Numerators as per given numbers 422/82, 307/680 is

GCF of Numerators i.e. for 422,307 is 1

LCM of denominators i.e. for 82,680 is 27880.

Thus, GCF of Fractions is 1/27880.Finally, GCF of Fractions for 422/82, 307/680 is 1/27880.