How to Find GCF of 5189/949, 7124/1963?

GCF of 5189/949, 7124/1963

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 5189/949, 7124/1963 i.e 1/143299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5189/949, 7124/1963.

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 5189/949,7124/1963?

Given fractions are 5189/949,7124/1963

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 5189/949,7124/1963, numerators are 5189,7124

Denominators are 949,1963

The GCF of 5189,7124 is 1 .

LCM of 949,1963 is 143299.

The greatest common factor of 5189/949,7124/1963 = [GCF of 5189,7124]/[LCM of 949,1963]= 1/143299

Therefore, the GCF of 5189/949,7124/1963 is 1/143299.

Greatest Common Factor of 5189,7124

To find the highest common factor of 5189,7124, we have to find the factors of both numbers and list the highest common factor.

The factors of 5189 are 1, 5189

The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124

The HCF of 5189,7124 is 1.

Lets's calculate GCF of 5189,7124

Greatest Common Factor (GCF) of 5189,7124 By Common Division

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

Greatest Common Factor of 5189,7124 By Matching Biggest Common Factor Method

Now, list down the factors of 5189

1,5189

Now, list down the factors of 7124

1,2,4,13,26,52,137,274,548,1781,3562,7124

Greatest Common Factor

We found the factors 5189,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 5189,7124 is 1.

Lets's calculate LCM of 949,1963

Lowest Common Multiple of 949,1963 using Common Division

13	949, 1963
	73, 151

∴ So the LCM of the given numbers is 13 x 73 x 151 = 143299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143299

Therefore, the GCF of Fractions 5189/949,7124/1963 is 1/143299

Least Common Multiple of 949,1963 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 949,1963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,1963) = 13

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

GCF(949,1963) x common factors =13 x 1 = 13

LCM(949,1963) = ( 949 × 1963 ) / 13

LCM(949,1963) = 1862887 / 13

LCM(949,1963) = 143299

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FAQs on GCF of Fractions of 5189/949, 7124/1963

1. What is the HCF of 5189,7124?

The HCF of 5189,7124 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 5189/949, 7124/1963?

Answer: GCF of Numerators as per given numbers 5189/949, 7124/1963 is

GCF of Numerators i.e. for 5189,7124 is 1

LCM of denominators i.e. for 949,1963 is 143299.

Thus, GCF of Fractions is 1/143299.Finally, GCF of Fractions for 5189/949, 7124/1963 is 1/143299.