How to Find GCF of 7675/706, 7256/4927?

GCF of 7675/706, 7256/4927

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 7675/706, 7256/4927 i.e 1/3478462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7675/706, 7256/4927.

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 7675/706,7256/4927?

Given fractions are 7675/706,7256/4927

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 7675/706,7256/4927, numerators are 7675,7256

Denominators are 706,4927

The GCF of 7675,7256 is 1 .

LCM of 706,4927 is 3478462.

The greatest common factor of 7675/706,7256/4927 = [GCF of 7675,7256]/[LCM of 706,4927]= 1/3478462

Therefore, the GCF of 7675/706,7256/4927 is 1/3478462.

Greatest Common Factor of 7675,7256

To find the highest common factor of 7675,7256, we have to find the factors of both numbers and list the highest common factor.

The factors of 7675 are 1, 5, 25, 307, 1535, 7675

The factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256

The HCF of 7675,7256 is 1.

Lets's calculate GCF of 7675,7256

Greatest Common Factor (GCF) of 7675,7256 By Common Division

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

Greatest Common Factor of 7675,7256 By Matching Biggest Common Factor Method

Now, list down the factors of 7675

1,5,25,307,1535,7675

Now, list down the factors of 7256

1,2,4,8,907,1814,3628,7256

Greatest Common Factor

We found the factors 7675,7256 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,7256 is 1.

Lets's calculate LCM of 706,4927

Lowest Common Multiple of 706,4927 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3478462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3478462

Therefore, the GCF of Fractions 7675/706,7256/4927 is 1/3478462

Least Common Multiple of 706,4927 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 706,4927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,4927) = 1

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

GCF(706,4927) x common factors =1 x 1 = 1

LCM(706,4927) = ( 706 × 4927 ) / 1

LCM(706,4927) = 3478462 / 1

LCM(706,4927) = 3478462

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FAQs on GCF of Fractions of 7675/706, 7256/4927

1. What is the HCF of 7675,7256?

The HCF of 7675,7256 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 7675/706, 7256/4927?

Answer: GCF of Numerators as per given numbers 7675/706, 7256/4927 is

GCF of Numerators i.e. for 7675,7256 is 1

LCM of denominators i.e. for 706,4927 is 3478462.

Thus, GCF of Fractions is 1/3478462.Finally, GCF of Fractions for 7675/706, 7256/4927 is 1/3478462.