How to Find GCF of 8753/146, 8301/7078?

GCF of 8753/146, 8301/7078

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 8753/146, 8301/7078 i.e 1/516694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8753/146, 8301/7078.

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 8753/146,8301/7078?

Given fractions are 8753/146,8301/7078

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 8753/146,8301/7078, numerators are 8753,8301

Denominators are 146,7078

The GCF of 8753,8301 is 1 .

LCM of 146,7078 is 516694.

The greatest common factor of 8753/146,8301/7078 = [GCF of 8753,8301]/[LCM of 146,7078]= 1/516694

Therefore, the GCF of 8753/146,8301/7078 is 1/516694.

Greatest Common Factor of 8753,8301

To find the highest common factor of 8753,8301, we have to find the factors of both numbers and list the highest common factor.

The factors of 8753 are 1, 8753

The factors of 8301 are 1, 3, 2767, 8301

The HCF of 8753,8301 is 1.

Lets's calculate GCF of 8753,8301

Greatest Common Factor (GCF) of 8753,8301 By Common Division

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

Greatest Common Factor of 8753,8301 By Matching Biggest Common Factor Method

Now, list down the factors of 8753

1,8753

Now, list down the factors of 8301

1,3,2767,8301

Greatest Common Factor

We found the factors 8753,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 8753,8301 is 1.

Lets's calculate LCM of 146,7078

Lowest Common Multiple of 146,7078 using Common Division

2	146, 7078
	73, 3539

∴ So the LCM of the given numbers is 2 x 73 x 3539 = 516694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516694

Therefore, the GCF of Fractions 8753/146,8301/7078 is 1/516694

Least Common Multiple of 146,7078 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 146,7078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,7078) = 2

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

GCF(146,7078) x common factors =2 x 1 = 2

LCM(146,7078) = ( 146 × 7078 ) / 2

LCM(146,7078) = 1033388 / 2

LCM(146,7078) = 516694

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FAQs on GCF of Fractions of 8753/146, 8301/7078

1. What is the HCF of 8753,8301?

The HCF of 8753,8301 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 8753/146, 8301/7078?

Answer: GCF of Numerators as per given numbers 8753/146, 8301/7078 is

GCF of Numerators i.e. for 8753,8301 is 1

LCM of denominators i.e. for 146,7078 is 516694.

Thus, GCF of Fractions is 1/516694.Finally, GCF of Fractions for 8753/146, 8301/7078 is 1/516694.