How to Find GCF of 1151/394, 1032/7498?

GCF of 1151/394, 1032/7498

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 1151/394, 1032/7498 i.e 1/1477106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1151/394, 1032/7498.

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 1151/394,1032/7498?

Given fractions are 1151/394,1032/7498

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 1151/394,1032/7498, numerators are 1151,1032

Denominators are 394,7498

The GCF of 1151,1032 is 1 .

LCM of 394,7498 is 1477106.

The greatest common factor of 1151/394,1032/7498 = [GCF of 1151,1032]/[LCM of 394,7498]= 1/1477106

Therefore, the GCF of 1151/394,1032/7498 is 1/1477106.

Greatest Common Factor of 1151,1032

To find the highest common factor of 1151,1032, we have to find the factors of both numbers and list the highest common factor.

The factors of 1151 are 1, 1151

The factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032

The HCF of 1151,1032 is 1.

Lets's calculate GCF of 1151,1032

Greatest Common Factor (GCF) of 1151,1032 By Common Division

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

Greatest Common Factor of 1151,1032 By Matching Biggest Common Factor Method

Now, list down the factors of 1151

1,1151

Now, list down the factors of 1032

1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032

Greatest Common Factor

We found the factors 1151,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,1032 is 1.

Lets's calculate LCM of 394,7498

Lowest Common Multiple of 394,7498 using Common Division

2	394, 7498
	197, 3749

∴ So the LCM of the given numbers is 2 x 197 x 3749 = 1477106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1477106

Therefore, the GCF of Fractions 1151/394,1032/7498 is 1/1477106

Least Common Multiple of 394,7498 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 394,7498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,7498) = 2

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

GCF(394,7498) x common factors =2 x 1 = 2

LCM(394,7498) = ( 394 × 7498 ) / 2

LCM(394,7498) = 2954212 / 2

LCM(394,7498) = 1477106

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FAQs on GCF of Fractions of 1151/394, 1032/7498

1. What is the HCF of 1151,1032?

The HCF of 1151,1032 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 1151/394, 1032/7498?

Answer: GCF of Numerators as per given numbers 1151/394, 1032/7498 is

GCF of Numerators i.e. for 1151,1032 is 1

LCM of denominators i.e. for 394,7498 is 1477106.

Thus, GCF of Fractions is 1/1477106.Finally, GCF of Fractions for 1151/394, 1032/7498 is 1/1477106.