How to Find GCF of 369/962, 406/653?

GCF of 369/962, 406/653

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 369/962, 406/653 i.e 1/628186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 369/962, 406/653.

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 369/962,406/653?

Given fractions are 369/962,406/653

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 369/962,406/653, numerators are 369,406

Denominators are 962,653

The GCF of 369,406 is 1 .

LCM of 962,653 is 628186.

The greatest common factor of 369/962,406/653 = [GCF of 369,406]/[LCM of 962,653]= 1/628186

Therefore, the GCF of 369/962,406/653 is 1/628186.

Greatest Common Factor of 369,406

To find the highest common factor of 369,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 369 are 1, 3, 9, 41, 123, 369

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 369,406 is 1.

Lets's calculate GCF of 369,406

Greatest Common Factor (GCF) of 369,406 By Common Division

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

Greatest Common Factor of 369,406 By Matching Biggest Common Factor Method

Now, list down the factors of 369

1,3,9,41,123,369

Now, list down the factors of 406

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 369,406 . The biggest common factor number is the GCF number.
So the greatest common factor 369,406 is 1.

Lets's calculate LCM of 962,653

Lowest Common Multiple of 962,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 628186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628186

Therefore, the GCF of Fractions 369/962,406/653 is 1/628186

Least Common Multiple of 962,653 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 962,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,653) = 1

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

GCF(962,653) x common factors =1 x 1 = 1

LCM(962,653) = ( 962 × 653 ) / 1

LCM(962,653) = 628186 / 1

LCM(962,653) = 628186

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FAQs on GCF of Fractions of 369/962, 406/653

1. What is the HCF of 369,406?

The HCF of 369,406 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 369/962, 406/653?

Answer: GCF of Numerators as per given numbers 369/962, 406/653 is

GCF of Numerators i.e. for 369,406 is 1

LCM of denominators i.e. for 962,653 is 628186.

Thus, GCF of Fractions is 1/628186.Finally, GCF of Fractions for 369/962, 406/653 is 1/628186.