How to Find GCF of 965/689, 399/981?

GCF of 965/689, 399/981

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 965/689, 399/981 i.e 1/675909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/689, 399/981.

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 965/689,399/981?

Given fractions are 965/689,399/981

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 965/689,399/981, numerators are 965,399

Denominators are 689,981

The GCF of 965,399 is 1 .

LCM of 689,981 is 675909.

The greatest common factor of 965/689,399/981 = [GCF of 965,399]/[LCM of 689,981]= 1/675909

Therefore, the GCF of 965/689,399/981 is 1/675909.

Greatest Common Factor of 965,399

To find the highest common factor of 965,399, we have to find the factors of both numbers and list the highest common factor.

The factors of 965 are 1, 5, 193, 965

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399

The HCF of 965,399 is 1.

Lets's calculate GCF of 965,399

Greatest Common Factor (GCF) of 965,399 By Common Division

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

Greatest Common Factor of 965,399 By Matching Biggest Common Factor Method

Now, list down the factors of 965

1,5,193,965

Now, list down the factors of 399

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 965,399 . The biggest common factor number is the GCF number.
So the greatest common factor 965,399 is 1.

Lets's calculate LCM of 689,981

Lowest Common Multiple of 689,981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 675909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675909

Therefore, the GCF of Fractions 965/689,399/981 is 1/675909

Least Common Multiple of 689,981 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 689,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,981) = 1

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

GCF(689,981) x common factors =1 x 1 = 1

LCM(689,981) = ( 689 × 981 ) / 1

LCM(689,981) = 675909 / 1

LCM(689,981) = 675909

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FAQs on GCF of Fractions of 965/689, 399/981

1. What is the HCF of 965,399?

The HCF of 965,399 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 965/689, 399/981?

Answer: GCF of Numerators as per given numbers 965/689, 399/981 is

GCF of Numerators i.e. for 965,399 is 1

LCM of denominators i.e. for 689,981 is 675909.

Thus, GCF of Fractions is 1/675909.Finally, GCF of Fractions for 965/689, 399/981 is 1/675909.