How to Find GCF of 25/277, 29/579, 682/950?

GCF of 25/277, 29/579, 682/950

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 25/277, 29/579, 682/950 i.e 1/152363850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/277, 29/579, 682/950.

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 25/277,29/579,682/950?

Given fractions are 25/277,29/579,682/950

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 25/277,29/579,682/950, numerators are 25,29,682

Denominators are 277,579,950

The GCF of 25,29,682 is 1 .

LCM of 277,579,950 is 152363850.

The greatest common factor of 25/277,29/579,682/950 = [GCF of 25,29,682]/[LCM of 277,579,950]= 1/152363850

Therefore, the GCF of 25/277,29/579,682/950 is 1/152363850.

Greatest Common Factor of 25,29,682

To find the highest common factor of 25,29,682, we have to find the factors of both numbers and list the highest common factor.

The factors of 25 are 1, 5, 25

The factors of 29 are 1, 29

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The HCF of 25,29,682 is 1.

Lets's calculate GCF of 25,29,682

Greatest Common Factor (GCF) of 25,29,682 By Common Division

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

Greatest Common Factor of 25,29,682 By Matching Biggest Common Factor Method

Now, list down the factors of 25

1,5,25

Now, list down the factors of 29

1,29

Now, list down the factors of 682

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 25,29,682 . The biggest common factor number is the GCF number.
So the greatest common factor 25,29,682 is 1.

Lets's calculate LCM of 277,579,950

Lowest Common Multiple of 277,579,950 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 152363850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152363850

Therefore, the GCF of Fractions 25/277,29/579,682/950 is 1/152363850

Least Common Multiple of 277,579,950 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 277,579,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,579,950) = 1

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

GCF(277,579,950) x common factors =1 x 1 = 1

LCM(277,579,950) = ( 277 × 579 × 950 ) / 1

LCM(277,579,950) = 152363850 / 1

LCM(277,579,950) = 152363850

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 25/277, 29/579, 682/950

1. What is the HCF of 25,29,682?

The HCF of 25,29,682 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 25/277, 29/579, 682/950?

Answer: GCF of Numerators as per given numbers 25/277, 29/579, 682/950 is

GCF of Numerators i.e. for 25,29,682 is 1

LCM of denominators i.e. for 277,579,950 is 152363850.

Thus, GCF of Fractions is 1/152363850.Finally, GCF of Fractions for 25/277, 29/579, 682/950 is 1/152363850.