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GCF of 276/28, 712/1385

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 276/28, 712/1385 i.e 4/38780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 276/28, 712/1385.

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 276/28,712/1385?

Given fractions are 276/28,712/1385

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 276/28,712/1385, numerators are 276,712

Denominators are 28,1385

The GCF of 276,712 is 4 .

LCM of 28,1385 is 38780.

The greatest common factor of 276/28,712/1385 = [GCF of 276,712]/[LCM of 28,1385]= 4/38780

Therefore, the GCF of 276/28,712/1385 is 4/38780.

Greatest Common Factor of 276,712

To find the highest common factor of 276,712, we have to find the factors of both numbers and list the highest common factor.

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712

The HCF of 276,712 is 4.

Lets's calculate GCF of 276,712

Greatest Common Factor (GCF) of 276,712 By Common Division

2 276, 712
2 138, 356
69, 178

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 276,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,712 By Matching Biggest Common Factor Method

Now, list down the factors of 276

:

1,2,3,4,6,12,23,46,69,92,138,276

Now, list down the factors of 712

:

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 276,712 . The biggest common factor number is the GCF number.
So the greatest common factor 276,712 is 4.

Lets's calculate LCM of 28,1385

Lowest Common Multiple of 28,1385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/38780

Therefore, the GCF of Fractions 276/28,712/1385 is 4/38780

Least Common Multiple of 28,1385 with GCF Formula

Least Common Multiple of 28,1385 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 28,1385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,1385) = 1

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

GCF(28,1385) x common factors =1 x 1 = 1

LCM(28,1385) = ( 28 × 1385 ) / 1

LCM(28,1385) = 38780 / 1

LCM(28,1385) = 38780


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FAQs on GCF of Fractions of 276/28, 712/1385

1. What is the HCF of 276,712?

The HCF of 276,712 is 4

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 276/28, 712/1385?

Answer: GCF of Numerators as per given numbers 276/28, 712/1385 is

GCF of Numerators i.e. for 276,712 is 4

LCM of denominators i.e. for 28,1385 is 38780.

Thus, GCF of Fractions is 4/38780.Finally, GCF of Fractions for 276/28, 712/1385 is 4/38780.