How to Find GCF of 294/651, 5101/9556?

GCF of 294/651, 5101/9556

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 294/651, 5101/9556 i.e 1/6220956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/651, 5101/9556.

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 294/651,5101/9556?

Given fractions are 294/651,5101/9556

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 294/651,5101/9556, numerators are 294,5101

Denominators are 651,9556

The GCF of 294,5101 is 1 .

LCM of 651,9556 is 6220956.

The greatest common factor of 294/651,5101/9556 = [GCF of 294,5101]/[LCM of 651,9556]= 1/6220956

Therefore, the GCF of 294/651,5101/9556 is 1/6220956.

Greatest Common Factor of 294,5101

To find the highest common factor of 294,5101, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 5101 are 1, 5101

The HCF of 294,5101 is 1.

Lets's calculate GCF of 294,5101

Greatest Common Factor (GCF) of 294,5101 By Common Division

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

Greatest Common Factor of 294,5101 By Matching Biggest Common Factor Method

Now, list down the factors of 294

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 5101

1,5101

Greatest Common Factor

We found the factors 294,5101 . The biggest common factor number is the GCF number.
So the greatest common factor 294,5101 is 1.

Lets's calculate LCM of 651,9556

Lowest Common Multiple of 651,9556 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6220956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6220956

Therefore, the GCF of Fractions 294/651,5101/9556 is 1/6220956

Least Common Multiple of 651,9556 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 651,9556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,9556) = 1

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

GCF(651,9556) x common factors =1 x 1 = 1

LCM(651,9556) = ( 651 × 9556 ) / 1

LCM(651,9556) = 6220956 / 1

LCM(651,9556) = 6220956

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FAQs on GCF of Fractions of 294/651, 5101/9556

1. What is the HCF of 294,5101?

The HCF of 294,5101 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 294/651, 5101/9556?

Answer: GCF of Numerators as per given numbers 294/651, 5101/9556 is

GCF of Numerators i.e. for 294,5101 is 1

LCM of denominators i.e. for 651,9556 is 6220956.

Thus, GCF of Fractions is 1/6220956.Finally, GCF of Fractions for 294/651, 5101/9556 is 1/6220956.