How to Find GCF of 950/938, 2596/682?

GCF of 950/938, 2596/682

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 950/938, 2596/682 i.e 2/319858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/938, 2596/682.

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 950/938,2596/682?

Given fractions are 950/938,2596/682

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 950/938,2596/682, numerators are 950,2596

Denominators are 938,682

The GCF of 950,2596 is 2 .

LCM of 938,682 is 319858.

The greatest common factor of 950/938,2596/682 = [GCF of 950,2596]/[LCM of 938,682]= 2/319858

Therefore, the GCF of 950/938,2596/682 is 2/319858.

Greatest Common Factor of 950,2596

To find the highest common factor of 950,2596, we have to find the factors of both numbers and list the highest common factor.

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596

The HCF of 950,2596 is 2.

Lets's calculate GCF of 950,2596

Greatest Common Factor (GCF) of 950,2596 By Common Division

2	950, 2596
	475, 1298

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 950,2596 By Matching Biggest Common Factor Method

Now, list down the factors of 950

1,2,5,10,19,25,38,50,95,190,475,950

Now, list down the factors of 2596

1,2,4,11,22,44,59,118,236,649,1298,2596

Greatest Common Factor

We found the factors 950,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 950,2596 is 2.

Lets's calculate LCM of 938,682

Lowest Common Multiple of 938,682 using Common Division

2	938, 682
	469, 341

∴ So the LCM of the given numbers is 2 x 469 x 341 = 319858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/319858

Therefore, the GCF of Fractions 950/938,2596/682 is 2/319858

Least Common Multiple of 938,682 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 938,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,682) = 2

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

GCF(938,682) x common factors =2 x 1 = 2

LCM(938,682) = ( 938 × 682 ) / 2

LCM(938,682) = 639716 / 2

LCM(938,682) = 319858

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 950/938, 2596/682

1. What is the HCF of 950,2596?

The HCF of 950,2596 is 2

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 950/938, 2596/682?

Answer: GCF of Numerators as per given numbers 950/938, 2596/682 is

GCF of Numerators i.e. for 950,2596 is 2

LCM of denominators i.e. for 938,682 is 319858.

Thus, GCF of Fractions is 2/319858.Finally, GCF of Fractions for 950/938, 2596/682 is 2/319858.