How to Find GCF of 4382/181, 1963/701?

GCF of 4382/181, 1963/701

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 4382/181, 1963/701 i.e 1/126881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4382/181, 1963/701.

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 4382/181,1963/701?

Given fractions are 4382/181,1963/701

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 4382/181,1963/701, numerators are 4382,1963

Denominators are 181,701

The GCF of 4382,1963 is 1 .

LCM of 181,701 is 126881.

The greatest common factor of 4382/181,1963/701 = [GCF of 4382,1963]/[LCM of 181,701]= 1/126881

Therefore, the GCF of 4382/181,1963/701 is 1/126881.

Greatest Common Factor of 4382,1963

To find the highest common factor of 4382,1963, we have to find the factors of both numbers and list the highest common factor.

The factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382

The factors of 1963 are 1, 13, 151, 1963

The HCF of 4382,1963 is 1.

Lets's calculate GCF of 4382,1963

Greatest Common Factor (GCF) of 4382,1963 By Common Division

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

Greatest Common Factor of 4382,1963 By Matching Biggest Common Factor Method

Now, list down the factors of 4382

1,2,7,14,313,626,2191,4382

Now, list down the factors of 1963

1,13,151,1963

Greatest Common Factor

We found the factors 4382,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 4382,1963 is 1.

Lets's calculate LCM of 181,701

Lowest Common Multiple of 181,701 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 126881

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126881

Therefore, the GCF of Fractions 4382/181,1963/701 is 1/126881

Least Common Multiple of 181,701 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 181,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,701) = 1

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

GCF(181,701) x common factors =1 x 1 = 1

LCM(181,701) = ( 181 × 701 ) / 1

LCM(181,701) = 126881 / 1

LCM(181,701) = 126881

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FAQs on GCF of Fractions of 4382/181, 1963/701

1. What is the HCF of 4382,1963?

The HCF of 4382,1963 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 4382/181, 1963/701?

Answer: GCF of Numerators as per given numbers 4382/181, 1963/701 is

GCF of Numerators i.e. for 4382,1963 is 1

LCM of denominators i.e. for 181,701 is 126881.

Thus, GCF of Fractions is 1/126881.Finally, GCF of Fractions for 4382/181, 1963/701 is 1/126881.