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GCF of 307/872, 280/738

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 307/872, 280/738 i.e 1/321768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/872, 280/738.

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 307/872,280/738?

Given fractions are 307/872,280/738

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 307/872,280/738, numerators are 307,280

Denominators are 872,738

The GCF of 307,280 is 1 .

LCM of 872,738 is 321768.

The greatest common factor of 307/872,280/738 = [GCF of 307,280]/[LCM of 872,738]= 1/321768

Therefore, the GCF of 307/872,280/738 is 1/321768.

Greatest Common Factor of 307,280

To find the highest common factor of 307,280, we have to find the factors of both numbers and list the highest common factor.

The factors of 307 are 1, 307

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 307,280 is 1.

Lets's calculate GCF of 307,280

Greatest Common Factor (GCF) of 307,280 By Common Division

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

Greatest Common Factor of 307,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,280 By Matching Biggest Common Factor Method

Now, list down the factors of 307

:

1,307

Now, list down the factors of 280

:

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 307,280 . The biggest common factor number is the GCF number.
So the greatest common factor 307,280 is 1.

Lets's calculate LCM of 872,738

Lowest Common Multiple of 872,738 using Common Division

2 872, 738
436, 369

∴ So the LCM of the given numbers is 2 x 436 x 369 = 321768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321768

Therefore, the GCF of Fractions 307/872,280/738 is 1/321768

Least Common Multiple of 872,738 with GCF Formula

Least Common Multiple of 872,738 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 872,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,738) = 2

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

GCF(872,738) x common factors =2 x 1 = 2

LCM(872,738) = ( 872 × 738 ) / 2

LCM(872,738) = 643536 / 2

LCM(872,738) = 321768


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FAQs on GCF of Fractions of 307/872, 280/738

1. What is the HCF of 307,280?

The HCF of 307,280 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 307/872, 280/738?

Answer: GCF of Numerators as per given numbers 307/872, 280/738 is

GCF of Numerators i.e. for 307,280 is 1

LCM of denominators i.e. for 872,738 is 321768.

Thus, GCF of Fractions is 1/321768.Finally, GCF of Fractions for 307/872, 280/738 is 1/321768.