How to Find GCF of 507/448, 962/374?

GCF of 507/448, 962/374

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 507/448, 962/374 i.e 13/83776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/448, 962/374.

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 507/448,962/374?

Given fractions are 507/448,962/374

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 507/448,962/374, numerators are 507,962

Denominators are 448,374

The GCF of 507,962 is 13 .

LCM of 448,374 is 83776.

The greatest common factor of 507/448,962/374 = [GCF of 507,962]/[LCM of 448,374]= 13/83776

Therefore, the GCF of 507/448,962/374 is 13/83776.

Greatest Common Factor of 507,962

To find the highest common factor of 507,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 507 are 1, 3, 13, 39, 169, 507

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The HCF of 507,962 is 13.

Lets's calculate GCF of 507,962

Greatest Common Factor (GCF) of 507,962 By Common Division

13	507, 962
	39, 74

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

Greatest Common Factor of 507,962 By Matching Biggest Common Factor Method

Now, list down the factors of 507

1,3,13,39,169,507

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 507,962 . The biggest common factor number is the GCF number.
So the greatest common factor 507,962 is 13.

Lets's calculate LCM of 448,374

Lowest Common Multiple of 448,374 using Common Division

2	448, 374
	224, 187

∴ So the LCM of the given numbers is 2 x 224 x 187 = 83776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/83776

Therefore, the GCF of Fractions 507/448,962/374 is 13/83776

Least Common Multiple of 448,374 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 448,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,374) = 2

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

GCF(448,374) x common factors =2 x 1 = 2

LCM(448,374) = ( 448 × 374 ) / 2

LCM(448,374) = 167552 / 2

LCM(448,374) = 83776

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FAQs on GCF of Fractions of 507/448, 962/374

1. What is the HCF of 507,962?

The HCF of 507,962 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 507/448, 962/374?

Answer: GCF of Numerators as per given numbers 507/448, 962/374 is

GCF of Numerators i.e. for 507,962 is 13

LCM of denominators i.e. for 448,374 is 83776.

Thus, GCF of Fractions is 13/83776.Finally, GCF of Fractions for 507/448, 962/374 is 13/83776.