How to Find GCF of 836/929, 748/905?

GCF of 836/929, 748/905

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 836/929, 748/905 i.e 44/840745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/929, 748/905.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 836/929,748/905?

Given fractions are 836/929,748/905

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 836/929,748/905, numerators are 836,748

Denominators are 929,905

The GCF of 836,748 is 44 .

LCM of 929,905 is 840745.

The greatest common factor of 836/929,748/905 = [GCF of 836,748]/[LCM of 929,905]= 44/840745

Therefore, the GCF of 836/929,748/905 is 44/840745.

Greatest Common Factor of 836,748

To find the highest common factor of 836,748, we have to find the factors of both numbers and list the highest common factor.

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

The HCF of 836,748 is 44.

Lets's calculate GCF of 836,748

Greatest Common Factor (GCF) of 836,748 By Common Division

2	836, 748
2	418, 374
11	209, 187
	19, 17

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 836,748 By Matching Biggest Common Factor Method

Now, list down the factors of 836

1,2,4,11,19,22,38,44,76,209,418,836

Now, list down the factors of 748

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 836,748 . The biggest common factor number is the GCF number.
So the greatest common factor 836,748 is 44.

Lets's calculate LCM of 929,905

Lowest Common Multiple of 929,905 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 840745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/840745

Therefore, the GCF of Fractions 836/929,748/905 is 44/840745

Least Common Multiple of 929,905 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 929,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,905) = 1

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

GCF(929,905) x common factors =1 x 1 = 1

LCM(929,905) = ( 929 × 905 ) / 1

LCM(929,905) = 840745 / 1

LCM(929,905) = 840745

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 836/929, 748/905

1. What is the HCF of 836,748?

The HCF of 836,748 is 44

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 836/929, 748/905?

Answer: GCF of Numerators as per given numbers 836/929, 748/905 is

GCF of Numerators i.e. for 836,748 is 44

LCM of denominators i.e. for 929,905 is 840745.

Thus, GCF of Fractions is 44/840745.Finally, GCF of Fractions for 836/929, 748/905 is 44/840745.