Greatest Common Factor of 605/112, 6380/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/112, 6380/625

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 605/112,6380/625

Given fractions are 605/112,6380/625

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 605,6380

Greatest Common Factor of Numerators i.e. GCF of 605,6380 is 55 .

LCM of Denominators means LCM of 112,625 as per the given fractions.

LCM of 112,625 is 70000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,6380

GCF of Fractions 605/112,6380/625 is 55/70000

5 605, 6380
11 121, 1276
11, 116

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 605,6380 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,6380 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Greatest Common Factor

We found the factors 605,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 605,6380 is 55.

Lets's calculate LCM of 112,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 70000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/70000

Therefore, the GCF of Fractions 605/112,6380/625 is 55/70000

Least Common Multiple of 112,625 with GCF Formula

Least Common Multiple of 112,625 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 112,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,625) = 1

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

GCF(112,625) x common factors =1 x 1 = 1

LCM(112,625) = ( 112 × 625 ) / 1

LCM(112,625) = 70000 / 1

LCM(112,625) = 70000


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 605/112, 6380/625

1. 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.

2. What is the GCF of Fractions for 605/112, 6380/625?

Answer: GCF of Numerators as per given numbers 605/112, 6380/625 is

GCF of Numerators i.e. for 605,6380 is 55

LCM of denominators i.e. for 112,625 is 70000.

Thus, GCF of Fractions is 55/70000.Finally, GCF of Fractions for 605/112, 6380/625 is 55/70000.