How to Find GCF of 7775/160, 3491/3118?

GCF of 7775/160, 3491/3118

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 7775/160, 3491/3118 i.e 1/249440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7775/160, 3491/3118.

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 7775/160,3491/3118?

Given fractions are 7775/160,3491/3118

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 7775/160,3491/3118, numerators are 7775,3491

Denominators are 160,3118

The GCF of 7775,3491 is 1 .

LCM of 160,3118 is 249440.

The greatest common factor of 7775/160,3491/3118 = [GCF of 7775,3491]/[LCM of 160,3118]= 1/249440

Therefore, the GCF of 7775/160,3491/3118 is 1/249440.

Greatest Common Factor of 7775,3491

To find the highest common factor of 7775,3491, we have to find the factors of both numbers and list the highest common factor.

The factors of 7775 are 1, 5, 25, 311, 1555, 7775

The factors of 3491 are 1, 3491

The HCF of 7775,3491 is 1.

Lets's calculate GCF of 7775,3491

Greatest Common Factor (GCF) of 7775,3491 By Common Division

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

Greatest Common Factor of 7775,3491 By Matching Biggest Common Factor Method

Now, list down the factors of 7775

1,5,25,311,1555,7775

Now, list down the factors of 3491

1,3491

Greatest Common Factor

We found the factors 7775,3491 . The biggest common factor number is the GCF number.
So the greatest common factor 7775,3491 is 1.

Lets's calculate LCM of 160,3118

Lowest Common Multiple of 160,3118 using Common Division

2	160, 3118
	80, 1559

∴ So the LCM of the given numbers is 2 x 80 x 1559 = 249440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249440

Therefore, the GCF of Fractions 7775/160,3491/3118 is 1/249440

Least Common Multiple of 160,3118 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 160,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,3118) = 2

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

GCF(160,3118) x common factors =2 x 1 = 2

LCM(160,3118) = ( 160 × 3118 ) / 2

LCM(160,3118) = 498880 / 2

LCM(160,3118) = 249440

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FAQs on GCF of Fractions of 7775/160, 3491/3118

1. What is the HCF of 7775,3491?

The HCF of 7775,3491 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 7775/160, 3491/3118?

Answer: GCF of Numerators as per given numbers 7775/160, 3491/3118 is

GCF of Numerators i.e. for 7775,3491 is 1

LCM of denominators i.e. for 160,3118 is 249440.

Thus, GCF of Fractions is 1/249440.Finally, GCF of Fractions for 7775/160, 3491/3118 is 1/249440.