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GCF of 744/907, 9145/793

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 744/907, 9145/793 i.e 31/719251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 744/907, 9145/793.

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 744/907,9145/793?

Given fractions are 744/907,9145/793

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 744/907,9145/793, numerators are 744,9145

Denominators are 907,793

The GCF of 744,9145 is 31 .

LCM of 907,793 is 719251.

The greatest common factor of 744/907,9145/793 = [GCF of 744,9145]/[LCM of 907,793]= 31/719251

Therefore, the GCF of 744/907,9145/793 is 31/719251.

Greatest Common Factor of 744,9145

To find the highest common factor of 744,9145, we have to find the factors of both numbers and list the highest common factor.

The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

The factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145

The HCF of 744,9145 is 31.

Lets's calculate GCF of 744,9145

Greatest Common Factor (GCF) of 744,9145 By Common Division

31 744, 9145
24, 295

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 744,9145 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,9145 By Matching Biggest Common Factor Method

Now, list down the factors of 744

:

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Now, list down the factors of 9145

:

1,5,31,59,155,295,1829,9145

Greatest Common Factor

We found the factors 744,9145 . The biggest common factor number is the GCF number.
So the greatest common factor 744,9145 is 31.


Lets's calculate LCM of 907,793

Lowest Common Multiple of 907,793 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 719251

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/719251

Therefore, the GCF of Fractions 744/907,9145/793 is 31/719251

Least Common Multiple of 907,793 with GCF Formula

Least Common Multiple of 907,793 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 907,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,793) = 1

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

GCF(907,793) x common factors =1 x 1 = 1

LCM(907,793) = ( 907 × 793 ) / 1

LCM(907,793) = 719251 / 1

LCM(907,793) = 719251


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 744/907, 9145/793

1. What is the HCF of 744,9145?

The HCF of 744,9145 is 31

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 744/907, 9145/793?

Answer: GCF of Numerators as per given numbers 744/907, 9145/793 is

GCF of Numerators i.e. for 744,9145 is 31

LCM of denominators i.e. for 907,793 is 719251.

Thus, GCF of Fractions is 31/719251.Finally, GCF of Fractions for 744/907, 9145/793 is 31/719251.