How to Find GCF of 7312/932, 2966/1630?

GCF of 7312/932, 2966/1630

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 7312/932, 2966/1630 i.e 2/759580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7312/932, 2966/1630.

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 7312/932,2966/1630?

Given fractions are 7312/932,2966/1630

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 7312/932,2966/1630, numerators are 7312,2966

Denominators are 932,1630

The GCF of 7312,2966 is 2 .

LCM of 932,1630 is 759580.

The greatest common factor of 7312/932,2966/1630 = [GCF of 7312,2966]/[LCM of 932,1630]= 2/759580

Therefore, the GCF of 7312/932,2966/1630 is 2/759580.

Greatest Common Factor of 7312,2966

To find the highest common factor of 7312,2966, we have to find the factors of both numbers and list the highest common factor.

The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312

The factors of 2966 are 1, 2, 1483, 2966

The HCF of 7312,2966 is 2.

Lets's calculate GCF of 7312,2966

Greatest Common Factor (GCF) of 7312,2966 By Common Division

2	7312, 2966
	3656, 1483

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

Greatest Common Factor of 7312,2966 By Matching Biggest Common Factor Method

Now, list down the factors of 7312

1,2,4,8,16,457,914,1828,3656,7312

Now, list down the factors of 2966

1,2,1483,2966

Greatest Common Factor

We found the factors 7312,2966 . The biggest common factor number is the GCF number.
So the greatest common factor 7312,2966 is 2.

Lets's calculate LCM of 932,1630

Lowest Common Multiple of 932,1630 using Common Division

2	932, 1630
	466, 815

∴ So the LCM of the given numbers is 2 x 466 x 815 = 759580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/759580

Therefore, the GCF of Fractions 7312/932,2966/1630 is 2/759580

Least Common Multiple of 932,1630 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 932,1630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,1630) = 2

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

GCF(932,1630) x common factors =2 x 1 = 2

LCM(932,1630) = ( 932 × 1630 ) / 2

LCM(932,1630) = 1519160 / 2

LCM(932,1630) = 759580

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FAQs on GCF of Fractions of 7312/932, 2966/1630

1. What is the HCF of 7312,2966?

The HCF of 7312,2966 is 2

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 7312/932, 2966/1630?

Answer: GCF of Numerators as per given numbers 7312/932, 2966/1630 is

GCF of Numerators i.e. for 7312,2966 is 2

LCM of denominators i.e. for 932,1630 is 759580.

Thus, GCF of Fractions is 2/759580.Finally, GCF of Fractions for 7312/932, 2966/1630 is 2/759580.