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GCF of 625/966, 100/741

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 625/966, 100/741 i.e 25/238602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/966, 100/741.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 625/966,100/741?

Given fractions are 625/966,100/741

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 625/966,100/741, numerators are 625,100

Denominators are 966,741

The GCF of 625,100 is 25 .

LCM of 966,741 is 238602.

The greatest common factor of 625/966,100/741 = [GCF of 625,100]/[LCM of 966,741]= 25/238602

Therefore, the GCF of 625/966,100/741 is 25/238602.

Greatest Common Factor of 625,100

To find the highest common factor of 625,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 625 are 1, 5, 25, 125, 625

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 625,100 is 25.

Lets's calculate GCF of 625,100

Greatest Common Factor (GCF) of 625,100 By Common Division

5 625, 100
5 125, 20
25, 4

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

Greatest Common Factor of 625,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,100 By Matching Biggest Common Factor Method

Now, list down the factors of 625

:

1,5,25,125,625

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 625,100 . The biggest common factor number is the GCF number.
So the greatest common factor 625,100 is 25.


Lets's calculate LCM of 966,741

Lowest Common Multiple of 966,741 using Common Division

3 966, 741
322, 247

∴ So the LCM of the given numbers is 3 x 322 x 247 = 238602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/238602

Therefore, the GCF of Fractions 625/966,100/741 is 25/238602

Least Common Multiple of 966,741 with GCF Formula

Least Common Multiple of 966,741 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 966,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,741) = 3

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

GCF(966,741) x common factors =3 x 1 = 3

LCM(966,741) = ( 966 × 741 ) / 3

LCM(966,741) = 715806 / 3

LCM(966,741) = 238602


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 625/966, 100/741

1. What is the HCF of 625,100?

The HCF of 625,100 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 625/966, 100/741?

Answer: GCF of Numerators as per given numbers 625/966, 100/741 is

GCF of Numerators i.e. for 625,100 is 25

LCM of denominators i.e. for 966,741 is 238602.

Thus, GCF of Fractions is 25/238602.Finally, GCF of Fractions for 625/966, 100/741 is 25/238602.