Greatest Common Factor of 890/44, 7850/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 890/44, 7850/148

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 890/44,7850/148

Given fractions are 890/44,7850/148

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 890,7850

Greatest Common Factor of Numerators i.e. GCF of 890,7850 is 10 .

LCM of Denominators means LCM of 44,148 as per the given fractions.

LCM of 44,148 is 1628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 890,7850

GCF of Fractions 890/44,7850/148 is 10/1628

2 890, 7850
5 445, 3925
89, 785

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 890,7850 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,7850 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 7850

List of positive integer factors of 7850 that divides 7850 without a remainder.

1,2,5,10,25,50,157,314,785,1570,3925,7850

Greatest Common Factor

We found the factors 890,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 890,7850 is 10.

Lets's calculate LCM of 44,148

2 44, 148
2 22, 74
11, 37

∴ So the LCM of the given numbers is 2 x 2 x 11 x 37 = 1628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1628

Therefore, the GCF of Fractions 890/44,7850/148 is 10/1628

Least Common Multiple of 44,148 with GCF Formula

Least Common Multiple of 44,148 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 44,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,148) = 4

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

GCF(44,148) x common factors =4 x 1 = 4

LCM(44,148) = ( 44 × 148 ) / 4

LCM(44,148) = 6512 / 4

LCM(44,148) = 1628


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 890/44, 7850/148

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 890/44, 7850/148?

Answer: GCF of Numerators as per given numbers 890/44, 7850/148 is

GCF of Numerators i.e. for 890,7850 is 10

LCM of denominators i.e. for 44,148 is 1628.

Thus, GCF of Fractions is 10/1628.Finally, GCF of Fractions for 890/44, 7850/148 is 10/1628.