How to Find GCF of 1775/491, 7051/1143?

GCF of 1775/491, 7051/1143

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 1775/491, 7051/1143 i.e 1/561213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1775/491, 7051/1143.

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 1775/491,7051/1143?

Given fractions are 1775/491,7051/1143

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 1775/491,7051/1143, numerators are 1775,7051

Denominators are 491,1143

The GCF of 1775,7051 is 1 .

LCM of 491,1143 is 561213.

The greatest common factor of 1775/491,7051/1143 = [GCF of 1775,7051]/[LCM of 491,1143]= 1/561213

Therefore, the GCF of 1775/491,7051/1143 is 1/561213.

Greatest Common Factor of 1775,7051

To find the highest common factor of 1775,7051, we have to find the factors of both numbers and list the highest common factor.

The factors of 1775 are 1, 5, 25, 71, 355, 1775

The factors of 7051 are 1, 11, 641, 7051

The HCF of 1775,7051 is 1.

Lets's calculate GCF of 1775,7051

Greatest Common Factor (GCF) of 1775,7051 By Common Division

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

Greatest Common Factor of 1775,7051 By Matching Biggest Common Factor Method

Now, list down the factors of 1775

1,5,25,71,355,1775

Now, list down the factors of 7051

1,11,641,7051

Greatest Common Factor

We found the factors 1775,7051 . The biggest common factor number is the GCF number.
So the greatest common factor 1775,7051 is 1.

Lets's calculate LCM of 491,1143

Lowest Common Multiple of 491,1143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 561213

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561213

Therefore, the GCF of Fractions 1775/491,7051/1143 is 1/561213

Least Common Multiple of 491,1143 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 491,1143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,1143) = 1

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

GCF(491,1143) x common factors =1 x 1 = 1

LCM(491,1143) = ( 491 × 1143 ) / 1

LCM(491,1143) = 561213 / 1

LCM(491,1143) = 561213

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FAQs on GCF of Fractions of 1775/491, 7051/1143

1. What is the HCF of 1775,7051?

The HCF of 1775,7051 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 1775/491, 7051/1143?

Answer: GCF of Numerators as per given numbers 1775/491, 7051/1143 is

GCF of Numerators i.e. for 1775,7051 is 1

LCM of denominators i.e. for 491,1143 is 561213.

Thus, GCF of Fractions is 1/561213.Finally, GCF of Fractions for 1775/491, 7051/1143 is 1/561213.