Greatest Common Factor of 737/962, 5628/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 737/962, 5628/307

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 737/962,5628/307

Given fractions are 737/962,5628/307

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 737,5628

Greatest Common Factor of Numerators i.e. GCF of 737,5628 is 67 .

LCM of Denominators means LCM of 962,307 as per the given fractions.

LCM of 962,307 is 295334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 737,5628

GCF of Fractions 737/962,5628/307 is 67/295334

67 737, 5628
11, 84

∴ So the GCF of the given numbers is 67 = 67

Greatest Common Factor of 737,5628 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,5628 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 5628

List of positive integer factors of 5628 that divides 5628 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628

Greatest Common Factor

We found the factors 737,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 737,5628 is 67.

Lets's calculate LCM of 962,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 295334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/295334

Therefore, the GCF of Fractions 737/962,5628/307 is 67/295334

Least Common Multiple of 962,307 with GCF Formula

Least Common Multiple of 962,307 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 962,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,307) = 1

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

GCF(962,307) x common factors =1 x 1 = 1

LCM(962,307) = ( 962 × 307 ) / 1

LCM(962,307) = 295334 / 1

LCM(962,307) = 295334


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 737/962, 5628/307

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 737/962, 5628/307?

Answer: GCF of Numerators as per given numbers 737/962, 5628/307 is

GCF of Numerators i.e. for 737,5628 is 67

LCM of denominators i.e. for 962,307 is 295334.

Thus, GCF of Fractions is 67/295334.Finally, GCF of Fractions for 737/962, 5628/307 is 67/295334.