How to Find GCF of 1322/935, 5383/7142?

GCF of 1322/935, 5383/7142

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 1322/935, 5383/7142 i.e 1/6677770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1322/935, 5383/7142.

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 1322/935,5383/7142?

Given fractions are 1322/935,5383/7142

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 1322/935,5383/7142, numerators are 1322,5383

Denominators are 935,7142

The GCF of 1322,5383 is 1 .

LCM of 935,7142 is 6677770.

The greatest common factor of 1322/935,5383/7142 = [GCF of 1322,5383]/[LCM of 935,7142]= 1/6677770

Therefore, the GCF of 1322/935,5383/7142 is 1/6677770.

Greatest Common Factor of 1322,5383

To find the highest common factor of 1322,5383, we have to find the factors of both numbers and list the highest common factor.

The factors of 1322 are 1, 2, 661, 1322

The factors of 5383 are 1, 7, 769, 5383

The HCF of 1322,5383 is 1.

Lets's calculate GCF of 1322,5383

Greatest Common Factor (GCF) of 1322,5383 By Common Division

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

Greatest Common Factor of 1322,5383 By Matching Biggest Common Factor Method

Now, list down the factors of 1322

1,2,661,1322

Now, list down the factors of 5383

1,7,769,5383

Greatest Common Factor

We found the factors 1322,5383 . The biggest common factor number is the GCF number.
So the greatest common factor 1322,5383 is 1.

Lets's calculate LCM of 935,7142

Lowest Common Multiple of 935,7142 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6677770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6677770

Therefore, the GCF of Fractions 1322/935,5383/7142 is 1/6677770

Least Common Multiple of 935,7142 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 935,7142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,7142) = 1

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

GCF(935,7142) x common factors =1 x 1 = 1

LCM(935,7142) = ( 935 × 7142 ) / 1

LCM(935,7142) = 6677770 / 1

LCM(935,7142) = 6677770

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FAQs on GCF of Fractions of 1322/935, 5383/7142

1. What is the HCF of 1322,5383?

The HCF of 1322,5383 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 1322/935, 5383/7142?

Answer: GCF of Numerators as per given numbers 1322/935, 5383/7142 is

GCF of Numerators i.e. for 1322,5383 is 1

LCM of denominators i.e. for 935,7142 is 6677770.

Thus, GCF of Fractions is 1/6677770.Finally, GCF of Fractions for 1322/935, 5383/7142 is 1/6677770.