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GCF of 954/115, 5468/695

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 954/115, 5468/695 i.e 2/15985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/115, 5468/695.

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 954/115,5468/695?

Given fractions are 954/115,5468/695

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 954/115,5468/695, numerators are 954,5468

Denominators are 115,695

The GCF of 954,5468 is 2 .

LCM of 115,695 is 15985.

The greatest common factor of 954/115,5468/695 = [GCF of 954,5468]/[LCM of 115,695]= 2/15985

Therefore, the GCF of 954/115,5468/695 is 2/15985.

Greatest Common Factor of 954,5468

To find the highest common factor of 954,5468, we have to find the factors of both numbers and list the highest common factor.

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 5468 are 1, 2, 4, 1367, 2734, 5468

The HCF of 954,5468 is 2.

Lets's calculate GCF of 954,5468

Greatest Common Factor (GCF) of 954,5468 By Common Division

2 954, 5468
477, 2734

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

Greatest Common Factor of 954,5468 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,5468 By Matching Biggest Common Factor Method

Now, list down the factors of 954

:

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 5468

:

1,2,4,1367,2734,5468

Greatest Common Factor

We found the factors 954,5468 . The biggest common factor number is the GCF number.
So the greatest common factor 954,5468 is 2.


Lets's calculate LCM of 115,695

Lowest Common Multiple of 115,695 using Common Division

5 115, 695
23, 139

∴ So the LCM of the given numbers is 5 x 23 x 139 = 15985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15985

Therefore, the GCF of Fractions 954/115,5468/695 is 2/15985

Least Common Multiple of 115,695 with GCF Formula

Least Common Multiple of 115,695 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 115,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,695) = 5

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

GCF(115,695) x common factors =5 x 1 = 5

LCM(115,695) = ( 115 × 695 ) / 5

LCM(115,695) = 79925 / 5

LCM(115,695) = 15985


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 954/115, 5468/695

1. What is the HCF of 954,5468?

The HCF of 954,5468 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 954/115, 5468/695?

Answer: GCF of Numerators as per given numbers 954/115, 5468/695 is

GCF of Numerators i.e. for 954,5468 is 2

LCM of denominators i.e. for 115,695 is 15985.

Thus, GCF of Fractions is 2/15985.Finally, GCF of Fractions for 954/115, 5468/695 is 2/15985.