How to Find GCF of 1105/149, 7319/917?

GCF of 1105/149, 7319/917

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 1105/149, 7319/917 i.e 13/136633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1105/149, 7319/917.

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 1105/149,7319/917?

Given fractions are 1105/149,7319/917

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 1105/149,7319/917, numerators are 1105,7319

Denominators are 149,917

The GCF of 1105,7319 is 13 .

LCM of 149,917 is 136633.

The greatest common factor of 1105/149,7319/917 = [GCF of 1105,7319]/[LCM of 149,917]= 13/136633

Therefore, the GCF of 1105/149,7319/917 is 13/136633.

Greatest Common Factor of 1105,7319

To find the highest common factor of 1105,7319, we have to find the factors of both numbers and list the highest common factor.

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The factors of 7319 are 1, 13, 563, 7319

The HCF of 1105,7319 is 13.

Lets's calculate GCF of 1105,7319

Greatest Common Factor (GCF) of 1105,7319 By Common Division

13	1105, 7319
	85, 563

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1105,7319 By Matching Biggest Common Factor Method

Now, list down the factors of 1105

1,5,13,17,65,85,221,1105

Now, list down the factors of 7319

1,13,563,7319

Greatest Common Factor

We found the factors 1105,7319 . The biggest common factor number is the GCF number.
So the greatest common factor 1105,7319 is 13.

Lets's calculate LCM of 149,917

Lowest Common Multiple of 149,917 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 136633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/136633

Therefore, the GCF of Fractions 1105/149,7319/917 is 13/136633

Least Common Multiple of 149,917 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 149,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,917) = 1

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

GCF(149,917) x common factors =1 x 1 = 1

LCM(149,917) = ( 149 × 917 ) / 1

LCM(149,917) = 136633 / 1

LCM(149,917) = 136633

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FAQs on GCF of Fractions of 1105/149, 7319/917

1. What is the HCF of 1105,7319?

The HCF of 1105,7319 is 13

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 1105/149, 7319/917?

Answer: GCF of Numerators as per given numbers 1105/149, 7319/917 is

GCF of Numerators i.e. for 1105,7319 is 13

LCM of denominators i.e. for 149,917 is 136633.

Thus, GCF of Fractions is 13/136633.Finally, GCF of Fractions for 1105/149, 7319/917 is 13/136633.