How to Find GCF of 4267/661, 9569/1094?

GCF of 4267/661, 9569/1094

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 4267/661, 9569/1094 i.e 1/723134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4267/661, 9569/1094.

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 4267/661,9569/1094?

Given fractions are 4267/661,9569/1094

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 4267/661,9569/1094, numerators are 4267,9569

Denominators are 661,1094

The GCF of 4267,9569 is 1 .

LCM of 661,1094 is 723134.

The greatest common factor of 4267/661,9569/1094 = [GCF of 4267,9569]/[LCM of 661,1094]= 1/723134

Therefore, the GCF of 4267/661,9569/1094 is 1/723134.

Greatest Common Factor of 4267,9569

To find the highest common factor of 4267,9569, we have to find the factors of both numbers and list the highest common factor.

The factors of 4267 are 1, 17, 251, 4267

The factors of 9569 are 1, 7, 1367, 9569

The HCF of 4267,9569 is 1.

Lets's calculate GCF of 4267,9569

Greatest Common Factor (GCF) of 4267,9569 By Common Division

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

Greatest Common Factor of 4267,9569 By Matching Biggest Common Factor Method

Now, list down the factors of 4267

1,17,251,4267

Now, list down the factors of 9569

1,7,1367,9569

Greatest Common Factor

We found the factors 4267,9569 . The biggest common factor number is the GCF number.
So the greatest common factor 4267,9569 is 1.

Lets's calculate LCM of 661,1094

Lowest Common Multiple of 661,1094 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 723134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723134

Therefore, the GCF of Fractions 4267/661,9569/1094 is 1/723134

Least Common Multiple of 661,1094 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 661,1094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,1094) = 1

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

GCF(661,1094) x common factors =1 x 1 = 1

LCM(661,1094) = ( 661 × 1094 ) / 1

LCM(661,1094) = 723134 / 1

LCM(661,1094) = 723134

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FAQs on GCF of Fractions of 4267/661, 9569/1094

1. What is the HCF of 4267,9569?

The HCF of 4267,9569 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 4267/661, 9569/1094?

Answer: GCF of Numerators as per given numbers 4267/661, 9569/1094 is

GCF of Numerators i.e. for 4267,9569 is 1

LCM of denominators i.e. for 661,1094 is 723134.

Thus, GCF of Fractions is 1/723134.Finally, GCF of Fractions for 4267/661, 9569/1094 is 1/723134.