How to Find GCF of 2947/640, 7285/9156?

GCF of 2947/640, 7285/9156

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 2947/640, 7285/9156 i.e 1/1464960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2947/640, 7285/9156.

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 2947/640,7285/9156?

Given fractions are 2947/640,7285/9156

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 2947/640,7285/9156, numerators are 2947,7285

Denominators are 640,9156

The GCF of 2947,7285 is 1 .

LCM of 640,9156 is 1464960.

The greatest common factor of 2947/640,7285/9156 = [GCF of 2947,7285]/[LCM of 640,9156]= 1/1464960

Therefore, the GCF of 2947/640,7285/9156 is 1/1464960.

Greatest Common Factor of 2947,7285

To find the highest common factor of 2947,7285, we have to find the factors of both numbers and list the highest common factor.

The factors of 2947 are 1, 7, 421, 2947

The factors of 7285 are 1, 5, 31, 47, 155, 235, 1457, 7285

The HCF of 2947,7285 is 1.

Lets's calculate GCF of 2947,7285

Greatest Common Factor (GCF) of 2947,7285 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2947,7285 By Matching Biggest Common Factor Method

Now, list down the factors of 2947

1,7,421,2947

Now, list down the factors of 7285

1,5,31,47,155,235,1457,7285

Greatest Common Factor

We found the factors 2947,7285 . The biggest common factor number is the GCF number.
So the greatest common factor 2947,7285 is 1.

Lets's calculate LCM of 640,9156

Lowest Common Multiple of 640,9156 using Common Division

2	640, 9156
2	320, 4578
	160, 2289

∴ So the LCM of the given numbers is 2 x 2 x 160 x 2289 = 1464960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1464960

Therefore, the GCF of Fractions 2947/640,7285/9156 is 1/1464960

Least Common Multiple of 640,9156 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 640,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,9156) = 4

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

GCF(640,9156) x common factors =4 x 1 = 4

LCM(640,9156) = ( 640 × 9156 ) / 4

LCM(640,9156) = 5859840 / 4

LCM(640,9156) = 1464960

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2947/640, 7285/9156

1. What is the HCF of 2947,7285?

The HCF of 2947,7285 is 1

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 2947/640, 7285/9156?

Answer: GCF of Numerators as per given numbers 2947/640, 7285/9156 is

GCF of Numerators i.e. for 2947,7285 is 1

LCM of denominators i.e. for 640,9156 is 1464960.

Thus, GCF of Fractions is 1/1464960.Finally, GCF of Fractions for 2947/640, 7285/9156 is 1/1464960.