How to Find GCF of 1471/991, 5042/8322?

GCF of 1471/991, 5042/8322

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 1471/991, 5042/8322 i.e 1/8247102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1471/991, 5042/8322.

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 1471/991,5042/8322?

Given fractions are 1471/991,5042/8322

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 1471/991,5042/8322, numerators are 1471,5042

Denominators are 991,8322

The GCF of 1471,5042 is 1 .

LCM of 991,8322 is 8247102.

The greatest common factor of 1471/991,5042/8322 = [GCF of 1471,5042]/[LCM of 991,8322]= 1/8247102

Therefore, the GCF of 1471/991,5042/8322 is 1/8247102.

Greatest Common Factor of 1471,5042

To find the highest common factor of 1471,5042, we have to find the factors of both numbers and list the highest common factor.

The factors of 1471 are 1, 1471

The factors of 5042 are 1, 2, 2521, 5042

The HCF of 1471,5042 is 1.

Lets's calculate GCF of 1471,5042

Greatest Common Factor (GCF) of 1471,5042 By Common Division

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

Greatest Common Factor of 1471,5042 By Matching Biggest Common Factor Method

Now, list down the factors of 1471

1,1471

Now, list down the factors of 5042

1,2,2521,5042

Greatest Common Factor

We found the factors 1471,5042 . The biggest common factor number is the GCF number.
So the greatest common factor 1471,5042 is 1.

Lets's calculate LCM of 991,8322

Lowest Common Multiple of 991,8322 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8247102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8247102

Therefore, the GCF of Fractions 1471/991,5042/8322 is 1/8247102

Least Common Multiple of 991,8322 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 991,8322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,8322) = 1

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

GCF(991,8322) x common factors =1 x 1 = 1

LCM(991,8322) = ( 991 × 8322 ) / 1

LCM(991,8322) = 8247102 / 1

LCM(991,8322) = 8247102

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FAQs on GCF of Fractions of 1471/991, 5042/8322

1. What is the HCF of 1471,5042?

The HCF of 1471,5042 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 1471/991, 5042/8322?

Answer: GCF of Numerators as per given numbers 1471/991, 5042/8322 is

GCF of Numerators i.e. for 1471,5042 is 1

LCM of denominators i.e. for 991,8322 is 8247102.

Thus, GCF of Fractions is 1/8247102.Finally, GCF of Fractions for 1471/991, 5042/8322 is 1/8247102.