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GCF of 4756/715, 5960/6923

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 4756/715, 5960/6923 i.e 4/4949945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4756/715, 5960/6923.

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 4756/715,5960/6923?

Given fractions are 4756/715,5960/6923

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 4756/715,5960/6923, numerators are 4756,5960

Denominators are 715,6923

The GCF of 4756,5960 is 4 .

LCM of 715,6923 is 4949945.

The greatest common factor of 4756/715,5960/6923 = [GCF of 4756,5960]/[LCM of 715,6923]= 4/4949945

Therefore, the GCF of 4756/715,5960/6923 is 4/4949945.

Greatest Common Factor of 4756,5960

To find the highest common factor of 4756,5960, we have to find the factors of both numbers and list the highest common factor.

The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756

The factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960

The HCF of 4756,5960 is 4.

Lets's calculate GCF of 4756,5960

Greatest Common Factor (GCF) of 4756,5960 By Common Division

2 4756, 5960
2 2378, 2980
1189, 1490

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

Greatest Common Factor of 4756,5960 By Matching Biggest Common Factor Method

Greatest Common Factor of 4756,5960 By Matching Biggest Common Factor Method

Now, list down the factors of 4756

:

1,2,4,29,41,58,82,116,164,1189,2378,4756

Now, list down the factors of 5960

:

1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960

Greatest Common Factor

We found the factors 4756,5960 . The biggest common factor number is the GCF number.
So the greatest common factor 4756,5960 is 4.


Lets's calculate LCM of 715,6923

Lowest Common Multiple of 715,6923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4949945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4949945

Therefore, the GCF of Fractions 4756/715,5960/6923 is 4/4949945

Least Common Multiple of 715,6923 with GCF Formula

Least Common Multiple of 715,6923 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 715,6923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,6923) = 1

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

GCF(715,6923) x common factors =1 x 1 = 1

LCM(715,6923) = ( 715 × 6923 ) / 1

LCM(715,6923) = 4949945 / 1

LCM(715,6923) = 4949945


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4756/715, 5960/6923

1. What is the HCF of 4756,5960?

The HCF of 4756,5960 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 4756/715, 5960/6923?

Answer: GCF of Numerators as per given numbers 4756/715, 5960/6923 is

GCF of Numerators i.e. for 4756,5960 is 4

LCM of denominators i.e. for 715,6923 is 4949945.

Thus, GCF of Fractions is 4/4949945.Finally, GCF of Fractions for 4756/715, 5960/6923 is 4/4949945.