How to Find GCF of 9511/100, 7122/5304?

GCF of 9511/100, 7122/5304

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 9511/100, 7122/5304 i.e 1/132600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9511/100, 7122/5304.

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 9511/100,7122/5304?

Given fractions are 9511/100,7122/5304

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 9511/100,7122/5304, numerators are 9511,7122

Denominators are 100,5304

The GCF of 9511,7122 is 1 .

LCM of 100,5304 is 132600.

The greatest common factor of 9511/100,7122/5304 = [GCF of 9511,7122]/[LCM of 100,5304]= 1/132600

Therefore, the GCF of 9511/100,7122/5304 is 1/132600.

Greatest Common Factor of 9511,7122

To find the highest common factor of 9511,7122, we have to find the factors of both numbers and list the highest common factor.

The factors of 9511 are 1, 9511

The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122

The HCF of 9511,7122 is 1.

Lets's calculate GCF of 9511,7122

Greatest Common Factor (GCF) of 9511,7122 By Common Division

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

Greatest Common Factor of 9511,7122 By Matching Biggest Common Factor Method

Now, list down the factors of 9511

1,9511

Now, list down the factors of 7122

1,2,3,6,1187,2374,3561,7122

Greatest Common Factor

We found the factors 9511,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 9511,7122 is 1.

Lets's calculate LCM of 100,5304

Lowest Common Multiple of 100,5304 using Common Division

2	100, 5304
2	50, 2652
	25, 1326

∴ So the LCM of the given numbers is 2 x 2 x 25 x 1326 = 132600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132600

Therefore, the GCF of Fractions 9511/100,7122/5304 is 1/132600

Least Common Multiple of 100,5304 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 100,5304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,5304) = 4

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

GCF(100,5304) x common factors =4 x 1 = 4

LCM(100,5304) = ( 100 × 5304 ) / 4

LCM(100,5304) = 530400 / 4

LCM(100,5304) = 132600

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FAQs on GCF of Fractions of 9511/100, 7122/5304

1. What is the HCF of 9511,7122?

The HCF of 9511,7122 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 9511/100, 7122/5304?

Answer: GCF of Numerators as per given numbers 9511/100, 7122/5304 is

GCF of Numerators i.e. for 9511,7122 is 1

LCM of denominators i.e. for 100,5304 is 132600.

Thus, GCF of Fractions is 1/132600.Finally, GCF of Fractions for 9511/100, 7122/5304 is 1/132600.