How to Find GCF of 13/865, 78/944, 827/149?

GCF of 13/865, 78/944, 827/149

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 13/865, 78/944, 827/149 i.e 1/121667440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/865, 78/944, 827/149.

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 13/865,78/944,827/149?

Given fractions are 13/865,78/944,827/149

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 13/865,78/944,827/149, numerators are 13,78,827

Denominators are 865,944,149

The GCF of 13,78,827 is 1 .

LCM of 865,944,149 is 121667440.

The greatest common factor of 13/865,78/944,827/149 = [GCF of 13,78,827]/[LCM of 865,944,149]= 1/121667440

Therefore, the GCF of 13/865,78/944,827/149 is 1/121667440.

Greatest Common Factor of 13,78,827

To find the highest common factor of 13,78,827, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 827 are 1, 827

The HCF of 13,78,827 is 1.

Lets's calculate GCF of 13,78,827

Greatest Common Factor (GCF) of 13,78,827 By Common Division

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

Greatest Common Factor of 13,78,827 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 827

1,827

Greatest Common Factor

We found the factors 13,78,827 . The biggest common factor number is the GCF number.
So the greatest common factor 13,78,827 is 1.

Lets's calculate LCM of 865,944,149

Lowest Common Multiple of 865,944,149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 121667440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121667440

Therefore, the GCF of Fractions 13/865,78/944,827/149 is 1/121667440

Least Common Multiple of 865,944,149 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 865,944,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,944,149) = 1

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

GCF(865,944,149) x common factors =1 x 1 = 1

LCM(865,944,149) = ( 865 × 944 × 149 ) / 1

LCM(865,944,149) = 121667440 / 1

LCM(865,944,149) = 121667440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/865, 78/944, 827/149

1. What is the HCF of 13,78,827?

The HCF of 13,78,827 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 13/865, 78/944, 827/149?

Answer: GCF of Numerators as per given numbers 13/865, 78/944, 827/149 is

GCF of Numerators i.e. for 13,78,827 is 1

LCM of denominators i.e. for 865,944,149 is 121667440.

Thus, GCF of Fractions is 1/121667440.Finally, GCF of Fractions for 13/865, 78/944, 827/149 is 1/121667440.