How to Find GCF of 9581/980, 1105/7747?

GCF of 9581/980, 1105/7747

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 9581/980, 1105/7747 i.e 13/7592060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9581/980, 1105/7747.

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 9581/980,1105/7747?

Given fractions are 9581/980,1105/7747

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 9581/980,1105/7747, numerators are 9581,1105

Denominators are 980,7747

The GCF of 9581,1105 is 13 .

LCM of 980,7747 is 7592060.

The greatest common factor of 9581/980,1105/7747 = [GCF of 9581,1105]/[LCM of 980,7747]= 13/7592060

Therefore, the GCF of 9581/980,1105/7747 is 13/7592060.

Greatest Common Factor of 9581,1105

To find the highest common factor of 9581,1105, we have to find the factors of both numbers and list the highest common factor.

The factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581

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

The HCF of 9581,1105 is 13.

Lets's calculate GCF of 9581,1105

Greatest Common Factor (GCF) of 9581,1105 By Common Division

13	9581, 1105
	737, 85

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

Greatest Common Factor of 9581,1105 By Matching Biggest Common Factor Method

Now, list down the factors of 9581

1,11,13,67,143,737,871,9581

Now, list down the factors of 1105

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

Greatest Common Factor

We found the factors 9581,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 9581,1105 is 13.

Lets's calculate LCM of 980,7747

Lowest Common Multiple of 980,7747 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7592060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7592060

Therefore, the GCF of Fractions 9581/980,1105/7747 is 13/7592060

Least Common Multiple of 980,7747 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 980,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,7747) = 1

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

GCF(980,7747) x common factors =1 x 1 = 1

LCM(980,7747) = ( 980 × 7747 ) / 1

LCM(980,7747) = 7592060 / 1

LCM(980,7747) = 7592060

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FAQs on GCF of Fractions of 9581/980, 1105/7747

1. What is the HCF of 9581,1105?

The HCF of 9581,1105 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 9581/980, 1105/7747?

Answer: GCF of Numerators as per given numbers 9581/980, 1105/7747 is

GCF of Numerators i.e. for 9581,1105 is 13

LCM of denominators i.e. for 980,7747 is 7592060.

Thus, GCF of Fractions is 13/7592060.Finally, GCF of Fractions for 9581/980, 1105/7747 is 13/7592060.