How to Find GCF of 970/661, 329/465?

GCF of 970/661, 329/465

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 970/661, 329/465 i.e 1/307365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/661, 329/465.

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 970/661,329/465?

Given fractions are 970/661,329/465

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 970/661,329/465, numerators are 970,329

Denominators are 661,465

The GCF of 970,329 is 1 .

LCM of 661,465 is 307365.

The greatest common factor of 970/661,329/465 = [GCF of 970,329]/[LCM of 661,465]= 1/307365

Therefore, the GCF of 970/661,329/465 is 1/307365.

Greatest Common Factor of 970,329

To find the highest common factor of 970,329, we have to find the factors of both numbers and list the highest common factor.

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The factors of 329 are 1, 7, 47, 329

The HCF of 970,329 is 1.

Lets's calculate GCF of 970,329

Greatest Common Factor (GCF) of 970,329 By Common Division

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

Greatest Common Factor of 970,329 By Matching Biggest Common Factor Method

Now, list down the factors of 970

1,2,5,10,97,194,485,970

Now, list down the factors of 329

1,7,47,329

Greatest Common Factor

We found the factors 970,329 . The biggest common factor number is the GCF number.
So the greatest common factor 970,329 is 1.

Lets's calculate LCM of 661,465

Lowest Common Multiple of 661,465 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 307365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307365

Therefore, the GCF of Fractions 970/661,329/465 is 1/307365

Least Common Multiple of 661,465 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 661,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,465) = 1

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

GCF(661,465) x common factors =1 x 1 = 1

LCM(661,465) = ( 661 × 465 ) / 1

LCM(661,465) = 307365 / 1

LCM(661,465) = 307365

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FAQs on GCF of Fractions of 970/661, 329/465

1. What is the HCF of 970,329?

The HCF of 970,329 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 970/661, 329/465?

Answer: GCF of Numerators as per given numbers 970/661, 329/465 is

GCF of Numerators i.e. for 970,329 is 1

LCM of denominators i.e. for 661,465 is 307365.

Thus, GCF of Fractions is 1/307365.Finally, GCF of Fractions for 970/661, 329/465 is 1/307365.