How to Find GCF of 8983/504, 1951/1436?

GCF of 8983/504, 1951/1436

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 8983/504, 1951/1436 i.e 1/180936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8983/504, 1951/1436.

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 8983/504,1951/1436?

Given fractions are 8983/504,1951/1436

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 8983/504,1951/1436, numerators are 8983,1951

Denominators are 504,1436

The GCF of 8983,1951 is 1 .

LCM of 504,1436 is 180936.

The greatest common factor of 8983/504,1951/1436 = [GCF of 8983,1951]/[LCM of 504,1436]= 1/180936

Therefore, the GCF of 8983/504,1951/1436 is 1/180936.

Greatest Common Factor of 8983,1951

To find the highest common factor of 8983,1951, we have to find the factors of both numbers and list the highest common factor.

The factors of 8983 are 1, 13, 691, 8983

The factors of 1951 are 1, 1951

The HCF of 8983,1951 is 1.

Lets's calculate GCF of 8983,1951

Greatest Common Factor (GCF) of 8983,1951 By Common Division

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

Greatest Common Factor of 8983,1951 By Matching Biggest Common Factor Method

Now, list down the factors of 8983

1,13,691,8983

Now, list down the factors of 1951

1,1951

Greatest Common Factor

We found the factors 8983,1951 . The biggest common factor number is the GCF number.
So the greatest common factor 8983,1951 is 1.

Lets's calculate LCM of 504,1436

Lowest Common Multiple of 504,1436 using Common Division

2	504, 1436
2	252, 718
	126, 359

∴ So the LCM of the given numbers is 2 x 2 x 126 x 359 = 180936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180936

Therefore, the GCF of Fractions 8983/504,1951/1436 is 1/180936

Least Common Multiple of 504,1436 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 504,1436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,1436) = 4

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

GCF(504,1436) x common factors =4 x 1 = 4

LCM(504,1436) = ( 504 × 1436 ) / 4

LCM(504,1436) = 723744 / 4

LCM(504,1436) = 180936

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FAQs on GCF of Fractions of 8983/504, 1951/1436

1. What is the HCF of 8983,1951?

The HCF of 8983,1951 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 8983/504, 1951/1436?

Answer: GCF of Numerators as per given numbers 8983/504, 1951/1436 is

GCF of Numerators i.e. for 8983,1951 is 1

LCM of denominators i.e. for 504,1436 is 180936.

Thus, GCF of Fractions is 1/180936.Finally, GCF of Fractions for 8983/504, 1951/1436 is 1/180936.