How to Find GCF of 4667/787, 2964/8340?

GCF of 4667/787, 2964/8340

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 4667/787, 2964/8340 i.e 13/6563580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4667/787, 2964/8340.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4667/787,2964/8340?

Given fractions are 4667/787,2964/8340

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 4667/787,2964/8340, numerators are 4667,2964

Denominators are 787,8340

The GCF of 4667,2964 is 13 .

LCM of 787,8340 is 6563580.

The greatest common factor of 4667/787,2964/8340 = [GCF of 4667,2964]/[LCM of 787,8340]= 13/6563580

Therefore, the GCF of 4667/787,2964/8340 is 13/6563580.

Greatest Common Factor of 4667,2964

To find the highest common factor of 4667,2964, we have to find the factors of both numbers and list the highest common factor.

The factors of 4667 are 1, 13, 359, 4667

The factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964

The HCF of 4667,2964 is 13.

Lets's calculate GCF of 4667,2964

Greatest Common Factor (GCF) of 4667,2964 By Common Division

13	4667, 2964
	359, 228

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4667,2964 By Matching Biggest Common Factor Method

Now, list down the factors of 4667

1,13,359,4667

Now, list down the factors of 2964

1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964

Greatest Common Factor

We found the factors 4667,2964 . The biggest common factor number is the GCF number.
So the greatest common factor 4667,2964 is 13.

Lets's calculate LCM of 787,8340

Lowest Common Multiple of 787,8340 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6563580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6563580

Therefore, the GCF of Fractions 4667/787,2964/8340 is 13/6563580

Least Common Multiple of 787,8340 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 787,8340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,8340) = 1

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

GCF(787,8340) x common factors =1 x 1 = 1

LCM(787,8340) = ( 787 × 8340 ) / 1

LCM(787,8340) = 6563580 / 1

LCM(787,8340) = 6563580

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4667/787, 2964/8340

1. What is the HCF of 4667,2964?

The HCF of 4667,2964 is 13

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 4667/787, 2964/8340?

Answer: GCF of Numerators as per given numbers 4667/787, 2964/8340 is

GCF of Numerators i.e. for 4667,2964 is 13

LCM of denominators i.e. for 787,8340 is 6563580.

Thus, GCF of Fractions is 13/6563580.Finally, GCF of Fractions for 4667/787, 2964/8340 is 13/6563580.