How to Find GCF of 29/691, 61/851, 845/700?

GCF of 29/691, 61/851, 845/700

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 29/691, 61/851, 845/700 i.e 1/411628700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/691, 61/851, 845/700.

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 29/691,61/851,845/700?

Given fractions are 29/691,61/851,845/700

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 29/691,61/851,845/700, numerators are 29,61,845

Denominators are 691,851,700

The GCF of 29,61,845 is 1 .

LCM of 691,851,700 is 411628700.

The greatest common factor of 29/691,61/851,845/700 = [GCF of 29,61,845]/[LCM of 691,851,700]= 1/411628700

Therefore, the GCF of 29/691,61/851,845/700 is 1/411628700.

Greatest Common Factor of 29,61,845

To find the highest common factor of 29,61,845, we have to find the factors of both numbers and list the highest common factor.

The factors of 29 are 1, 29

The factors of 61 are 1, 61

The factors of 845 are 1, 5, 13, 65, 169, 845

The HCF of 29,61,845 is 1.

Lets's calculate GCF of 29,61,845

Greatest Common Factor (GCF) of 29,61,845 By Common Division

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

Greatest Common Factor of 29,61,845 By Matching Biggest Common Factor Method

Now, list down the factors of 29

1,29

Now, list down the factors of 61

1,61

Now, list down the factors of 845

1,5,13,65,169,845

Greatest Common Factor

We found the factors 29,61,845 . The biggest common factor number is the GCF number.
So the greatest common factor 29,61,845 is 1.

Lets's calculate LCM of 691,851,700

Lowest Common Multiple of 691,851,700 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 411628700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411628700

Therefore, the GCF of Fractions 29/691,61/851,845/700 is 1/411628700

Least Common Multiple of 691,851,700 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 691,851,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,851,700) = 1

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

GCF(691,851,700) x common factors =1 x 1 = 1

LCM(691,851,700) = ( 691 × 851 × 700 ) / 1

LCM(691,851,700) = 411628700 / 1

LCM(691,851,700) = 411628700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 29/691, 61/851, 845/700

1. What is the HCF of 29,61,845?

The HCF of 29,61,845 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 29/691, 61/851, 845/700?

Answer: GCF of Numerators as per given numbers 29/691, 61/851, 845/700 is

GCF of Numerators i.e. for 29,61,845 is 1

LCM of denominators i.e. for 691,851,700 is 411628700.

Thus, GCF of Fractions is 1/411628700.Finally, GCF of Fractions for 29/691, 61/851, 845/700 is 1/411628700.