Greatest Common Factor of 2890/962, 4464/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2890/962, 4464/945

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 2890/962,4464/945

Given fractions are 2890/962,4464/945

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 2890,4464

Greatest Common Factor of Numerators i.e. GCF of 2890,4464 is 2 .

LCM of Denominators means LCM of 962,945 as per the given fractions.

LCM of 962,945 is 909090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2890,4464

GCF of Fractions 2890/962,4464/945 is 2/909090

2 2890, 4464
1445, 2232

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

Greatest Common Factor of 2890,4464 By Matching Biggest Common Factor Method

Greatest Common Factor of 2890,4464 By Matching Biggest Common Factor Method

Factors of 2890

List of positive integer factors of 2890 that divides 2890 without a remainder.

1,2,5,10,17,34,85,170,289,578,1445,2890

Factors of 4464

List of positive integer factors of 4464 that divides 4464 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464

Greatest Common Factor

We found the factors 2890,4464 . The biggest common factor number is the GCF number.
So the greatest common factor 2890,4464 is 2.

Lets's calculate LCM of 962,945

Given numbers has no common factors except 1. So, there LCM is their product i.e 909090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/909090

Therefore, the GCF of Fractions 2890/962,4464/945 is 2/909090

Least Common Multiple of 962,945 with GCF Formula

Least Common Multiple of 962,945 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 962,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,945) = 1

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

GCF(962,945) x common factors =1 x 1 = 1

LCM(962,945) = ( 962 × 945 ) / 1

LCM(962,945) = 909090 / 1

LCM(962,945) = 909090


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 2890/962, 4464/945

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 2890/962, 4464/945?

Answer: GCF of Numerators as per given numbers 2890/962, 4464/945 is

GCF of Numerators i.e. for 2890,4464 is 2

LCM of denominators i.e. for 962,945 is 909090.

Thus, GCF of Fractions is 2/909090.Finally, GCF of Fractions for 2890/962, 4464/945 is 2/909090.