How to Find GCF of 8708/755, 5351/451?

GCF of 8708/755, 5351/451

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 8708/755, 5351/451 i.e 1/340505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8708/755, 5351/451.

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 8708/755,5351/451?

Given fractions are 8708/755,5351/451

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 8708/755,5351/451, numerators are 8708,5351

Denominators are 755,451

The GCF of 8708,5351 is 1 .

LCM of 755,451 is 340505.

The greatest common factor of 8708/755,5351/451 = [GCF of 8708,5351]/[LCM of 755,451]= 1/340505

Therefore, the GCF of 8708/755,5351/451 is 1/340505.

Greatest Common Factor of 8708,5351

To find the highest common factor of 8708,5351, we have to find the factors of both numbers and list the highest common factor.

The factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708

The factors of 5351 are 1, 5351

The HCF of 8708,5351 is 1.

Lets's calculate GCF of 8708,5351

Greatest Common Factor (GCF) of 8708,5351 By Common Division

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

Greatest Common Factor of 8708,5351 By Matching Biggest Common Factor Method

Now, list down the factors of 8708

1,2,4,7,14,28,311,622,1244,2177,4354,8708

Now, list down the factors of 5351

1,5351

Greatest Common Factor

We found the factors 8708,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 8708,5351 is 1.

Lets's calculate LCM of 755,451

Lowest Common Multiple of 755,451 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 340505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340505

Therefore, the GCF of Fractions 8708/755,5351/451 is 1/340505

Least Common Multiple of 755,451 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 755,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,451) = 1

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

GCF(755,451) x common factors =1 x 1 = 1

LCM(755,451) = ( 755 × 451 ) / 1

LCM(755,451) = 340505 / 1

LCM(755,451) = 340505

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FAQs on GCF of Fractions of 8708/755, 5351/451

1. What is the HCF of 8708,5351?

The HCF of 8708,5351 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 8708/755, 5351/451?

Answer: GCF of Numerators as per given numbers 8708/755, 5351/451 is

GCF of Numerators i.e. for 8708,5351 is 1

LCM of denominators i.e. for 755,451 is 340505.

Thus, GCF of Fractions is 1/340505.Finally, GCF of Fractions for 8708/755, 5351/451 is 1/340505.