How to Find GCF of 8645/265, 1497/622?

GCF of 8645/265, 1497/622

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 8645/265, 1497/622 i.e 1/164830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8645/265, 1497/622.

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 8645/265,1497/622?

Given fractions are 8645/265,1497/622

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 8645/265,1497/622, numerators are 8645,1497

Denominators are 265,622

The GCF of 8645,1497 is 1 .

LCM of 265,622 is 164830.

The greatest common factor of 8645/265,1497/622 = [GCF of 8645,1497]/[LCM of 265,622]= 1/164830

Therefore, the GCF of 8645/265,1497/622 is 1/164830.

Greatest Common Factor of 8645,1497

To find the highest common factor of 8645,1497, we have to find the factors of both numbers and list the highest common factor.

The factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645

The factors of 1497 are 1, 3, 499, 1497

The HCF of 8645,1497 is 1.

Lets's calculate GCF of 8645,1497

Greatest Common Factor (GCF) of 8645,1497 By Common Division

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

Greatest Common Factor of 8645,1497 By Matching Biggest Common Factor Method

Now, list down the factors of 8645

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Now, list down the factors of 1497

1,3,499,1497

Greatest Common Factor

We found the factors 8645,1497 . The biggest common factor number is the GCF number.
So the greatest common factor 8645,1497 is 1.

Lets's calculate LCM of 265,622

Lowest Common Multiple of 265,622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 164830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164830

Therefore, the GCF of Fractions 8645/265,1497/622 is 1/164830

Least Common Multiple of 265,622 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 265,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,622) = 1

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

GCF(265,622) x common factors =1 x 1 = 1

LCM(265,622) = ( 265 × 622 ) / 1

LCM(265,622) = 164830 / 1

LCM(265,622) = 164830

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FAQs on GCF of Fractions of 8645/265, 1497/622

1. What is the HCF of 8645,1497?

The HCF of 8645,1497 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 8645/265, 1497/622?

Answer: GCF of Numerators as per given numbers 8645/265, 1497/622 is

GCF of Numerators i.e. for 8645,1497 is 1

LCM of denominators i.e. for 265,622 is 164830.

Thus, GCF of Fractions is 1/164830.Finally, GCF of Fractions for 8645/265, 1497/622 is 1/164830.