How to Find GCF of 2464/827, 7352/925?

GCF of 2464/827, 7352/925

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 2464/827, 7352/925 i.e 8/764975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2464/827, 7352/925.

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 2464/827,7352/925?

Given fractions are 2464/827,7352/925

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 2464/827,7352/925, numerators are 2464,7352

Denominators are 827,925

The GCF of 2464,7352 is 8 .

LCM of 827,925 is 764975.

The greatest common factor of 2464/827,7352/925 = [GCF of 2464,7352]/[LCM of 827,925]= 8/764975

Therefore, the GCF of 2464/827,7352/925 is 8/764975.

Greatest Common Factor of 2464,7352

To find the highest common factor of 2464,7352, we have to find the factors of both numbers and list the highest common factor.

The factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464

The factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352

The HCF of 2464,7352 is 8.

Lets's calculate GCF of 2464,7352

Greatest Common Factor (GCF) of 2464,7352 By Common Division

2	2464, 7352
2	1232, 3676
2	616, 1838
	308, 919

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2464,7352 By Matching Biggest Common Factor Method

Now, list down the factors of 2464

1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464

Now, list down the factors of 7352

1,2,4,8,919,1838,3676,7352

Greatest Common Factor

We found the factors 2464,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 2464,7352 is 8.

Lets's calculate LCM of 827,925

Lowest Common Multiple of 827,925 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 764975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/764975

Therefore, the GCF of Fractions 2464/827,7352/925 is 8/764975

Least Common Multiple of 827,925 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 827,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,925) = 1

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

GCF(827,925) x common factors =1 x 1 = 1

LCM(827,925) = ( 827 × 925 ) / 1

LCM(827,925) = 764975 / 1

LCM(827,925) = 764975

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FAQs on GCF of Fractions of 2464/827, 7352/925

1. What is the HCF of 2464,7352?

The HCF of 2464,7352 is 8

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 2464/827, 7352/925?

Answer: GCF of Numerators as per given numbers 2464/827, 7352/925 is

GCF of Numerators i.e. for 2464,7352 is 8

LCM of denominators i.e. for 827,925 is 764975.

Thus, GCF of Fractions is 8/764975.Finally, GCF of Fractions for 2464/827, 7352/925 is 8/764975.