How to Find GCF of 9136/252, 7045/9578?

GCF of 9136/252, 7045/9578

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 9136/252, 7045/9578 i.e 1/1206828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9136/252, 7045/9578.

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 9136/252,7045/9578?

Given fractions are 9136/252,7045/9578

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 9136/252,7045/9578, numerators are 9136,7045

Denominators are 252,9578

The GCF of 9136,7045 is 1 .

LCM of 252,9578 is 1206828.

The greatest common factor of 9136/252,7045/9578 = [GCF of 9136,7045]/[LCM of 252,9578]= 1/1206828

Therefore, the GCF of 9136/252,7045/9578 is 1/1206828.

Greatest Common Factor of 9136,7045

To find the highest common factor of 9136,7045, we have to find the factors of both numbers and list the highest common factor.

The factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136

The factors of 7045 are 1, 5, 1409, 7045

The HCF of 9136,7045 is 1.

Lets's calculate GCF of 9136,7045

Greatest Common Factor (GCF) of 9136,7045 By Common Division

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

Greatest Common Factor of 9136,7045 By Matching Biggest Common Factor Method

Now, list down the factors of 9136

1,2,4,8,16,571,1142,2284,4568,9136

Now, list down the factors of 7045

1,5,1409,7045

Greatest Common Factor

We found the factors 9136,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 9136,7045 is 1.

Lets's calculate LCM of 252,9578

Lowest Common Multiple of 252,9578 using Common Division

2	252, 9578
	126, 4789

∴ So the LCM of the given numbers is 2 x 126 x 4789 = 1206828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1206828

Therefore, the GCF of Fractions 9136/252,7045/9578 is 1/1206828

Least Common Multiple of 252,9578 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 252,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,9578) = 2

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

GCF(252,9578) x common factors =2 x 1 = 2

LCM(252,9578) = ( 252 × 9578 ) / 2

LCM(252,9578) = 2413656 / 2

LCM(252,9578) = 1206828

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9136/252, 7045/9578

1. What is the HCF of 9136,7045?

The HCF of 9136,7045 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 9136/252, 7045/9578?

Answer: GCF of Numerators as per given numbers 9136/252, 7045/9578 is

GCF of Numerators i.e. for 9136,7045 is 1

LCM of denominators i.e. for 252,9578 is 1206828.

Thus, GCF of Fractions is 1/1206828.Finally, GCF of Fractions for 9136/252, 7045/9578 is 1/1206828.