How to Find GCF of 9157/878, 9250/7752?

GCF of 9157/878, 9250/7752

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 9157/878, 9250/7752 i.e 1/3403128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9157/878, 9250/7752.

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 9157/878,9250/7752?

Given fractions are 9157/878,9250/7752

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 9157/878,9250/7752, numerators are 9157,9250

Denominators are 878,7752

The GCF of 9157,9250 is 1 .

LCM of 878,7752 is 3403128.

The greatest common factor of 9157/878,9250/7752 = [GCF of 9157,9250]/[LCM of 878,7752]= 1/3403128

Therefore, the GCF of 9157/878,9250/7752 is 1/3403128.

Greatest Common Factor of 9157,9250

To find the highest common factor of 9157,9250, we have to find the factors of both numbers and list the highest common factor.

The factors of 9157 are 1, 9157

The factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250

The HCF of 9157,9250 is 1.

Lets's calculate GCF of 9157,9250

Greatest Common Factor (GCF) of 9157,9250 By Common Division

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

Greatest Common Factor of 9157,9250 By Matching Biggest Common Factor Method

Now, list down the factors of 9157

1,9157

Now, list down the factors of 9250

1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250

Greatest Common Factor

We found the factors 9157,9250 . The biggest common factor number is the GCF number.
So the greatest common factor 9157,9250 is 1.

Lets's calculate LCM of 878,7752

Lowest Common Multiple of 878,7752 using Common Division

2	878, 7752
	439, 3876

∴ So the LCM of the given numbers is 2 x 439 x 3876 = 3403128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3403128

Therefore, the GCF of Fractions 9157/878,9250/7752 is 1/3403128

Least Common Multiple of 878,7752 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 878,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,7752) = 2

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

GCF(878,7752) x common factors =2 x 1 = 2

LCM(878,7752) = ( 878 × 7752 ) / 2

LCM(878,7752) = 6806256 / 2

LCM(878,7752) = 3403128

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FAQs on GCF of Fractions of 9157/878, 9250/7752

1. What is the HCF of 9157,9250?

The HCF of 9157,9250 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 9157/878, 9250/7752?

Answer: GCF of Numerators as per given numbers 9157/878, 9250/7752 is

GCF of Numerators i.e. for 9157,9250 is 1

LCM of denominators i.e. for 878,7752 is 3403128.

Thus, GCF of Fractions is 1/3403128.Finally, GCF of Fractions for 9157/878, 9250/7752 is 1/3403128.