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GCF of 910/904, 6703/790

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 910/904, 6703/790 i.e 1/357080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/904, 6703/790.

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 910/904,6703/790?

Given fractions are 910/904,6703/790

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 910/904,6703/790, numerators are 910,6703

Denominators are 904,790

The GCF of 910,6703 is 1 .

LCM of 904,790 is 357080.

The greatest common factor of 910/904,6703/790 = [GCF of 910,6703]/[LCM of 904,790]= 1/357080

Therefore, the GCF of 910/904,6703/790 is 1/357080.

Greatest Common Factor of 910,6703

To find the highest common factor of 910,6703, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 6703 are 1, 6703

The HCF of 910,6703 is 1.

Lets's calculate GCF of 910,6703

Greatest Common Factor (GCF) of 910,6703 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 910,6703 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,6703 By Matching Biggest Common Factor Method

Now, list down the factors of 910

:

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 6703

:

1,6703

Greatest Common Factor

We found the factors 910,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 910,6703 is 1.


Lets's calculate LCM of 904,790

Lowest Common Multiple of 904,790 using Common Division

2 904, 790
452, 395

∴ So the LCM of the given numbers is 2 x 452 x 395 = 357080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357080

Therefore, the GCF of Fractions 910/904,6703/790 is 1/357080

Least Common Multiple of 904,790 with GCF Formula

Least Common Multiple of 904,790 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 904,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,790) = 2

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

GCF(904,790) x common factors =2 x 1 = 2

LCM(904,790) = ( 904 × 790 ) / 2

LCM(904,790) = 714160 / 2

LCM(904,790) = 357080


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 910/904, 6703/790

1. What is the HCF of 910,6703?

The HCF of 910,6703 is 1

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 910/904, 6703/790?

Answer: GCF of Numerators as per given numbers 910/904, 6703/790 is

GCF of Numerators i.e. for 910,6703 is 1

LCM of denominators i.e. for 904,790 is 357080.

Thus, GCF of Fractions is 1/357080.Finally, GCF of Fractions for 910/904, 6703/790 is 1/357080.