How to Find GCF of 7750/268, 6425/2762?

GCF of 7750/268, 6425/2762

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 7750/268, 6425/2762 i.e 25/370108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7750/268, 6425/2762.

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 7750/268,6425/2762?

Given fractions are 7750/268,6425/2762

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 7750/268,6425/2762, numerators are 7750,6425

Denominators are 268,2762

The GCF of 7750,6425 is 25 .

LCM of 268,2762 is 370108.

The greatest common factor of 7750/268,6425/2762 = [GCF of 7750,6425]/[LCM of 268,2762]= 25/370108

Therefore, the GCF of 7750/268,6425/2762 is 25/370108.

Greatest Common Factor of 7750,6425

To find the highest common factor of 7750,6425, we have to find the factors of both numbers and list the highest common factor.

The factors of 7750 are 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750

The factors of 6425 are 1, 5, 25, 257, 1285, 6425

The HCF of 7750,6425 is 25.

Lets's calculate GCF of 7750,6425

Greatest Common Factor (GCF) of 7750,6425 By Common Division

5	7750, 6425
5	1550, 1285
	310, 257

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 7750,6425 By Matching Biggest Common Factor Method

Now, list down the factors of 7750

1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750

Now, list down the factors of 6425

1,5,25,257,1285,6425

Greatest Common Factor

We found the factors 7750,6425 . The biggest common factor number is the GCF number.
So the greatest common factor 7750,6425 is 25.

Lets's calculate LCM of 268,2762

Lowest Common Multiple of 268,2762 using Common Division

2	268, 2762
	134, 1381

∴ So the LCM of the given numbers is 2 x 134 x 1381 = 370108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/370108

Therefore, the GCF of Fractions 7750/268,6425/2762 is 25/370108

Least Common Multiple of 268,2762 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 268,2762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,2762) = 2

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

GCF(268,2762) x common factors =2 x 1 = 2

LCM(268,2762) = ( 268 × 2762 ) / 2

LCM(268,2762) = 740216 / 2

LCM(268,2762) = 370108

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FAQs on GCF of Fractions of 7750/268, 6425/2762

1. What is the HCF of 7750,6425?

The HCF of 7750,6425 is 25

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 7750/268, 6425/2762?

Answer: GCF of Numerators as per given numbers 7750/268, 6425/2762 is

GCF of Numerators i.e. for 7750,6425 is 25

LCM of denominators i.e. for 268,2762 is 370108.

Thus, GCF of Fractions is 25/370108.Finally, GCF of Fractions for 7750/268, 6425/2762 is 25/370108.