How to Find GCF of 1474/233, 1975/8545?

GCF of 1474/233, 1975/8545

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 1474/233, 1975/8545 i.e 1/1990985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1474/233, 1975/8545.

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 1474/233,1975/8545?

Given fractions are 1474/233,1975/8545

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 1474/233,1975/8545, numerators are 1474,1975

Denominators are 233,8545

The GCF of 1474,1975 is 1 .

LCM of 233,8545 is 1990985.

The greatest common factor of 1474/233,1975/8545 = [GCF of 1474,1975]/[LCM of 233,8545]= 1/1990985

Therefore, the GCF of 1474/233,1975/8545 is 1/1990985.

Greatest Common Factor of 1474,1975

To find the highest common factor of 1474,1975, we have to find the factors of both numbers and list the highest common factor.

The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474

The factors of 1975 are 1, 5, 25, 79, 395, 1975

The HCF of 1474,1975 is 1.

Lets's calculate GCF of 1474,1975

Greatest Common Factor (GCF) of 1474,1975 By Common Division

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

Greatest Common Factor of 1474,1975 By Matching Biggest Common Factor Method

Now, list down the factors of 1474

1,2,11,22,67,134,737,1474

Now, list down the factors of 1975

1,5,25,79,395,1975

Greatest Common Factor

We found the factors 1474,1975 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,1975 is 1.

Lets's calculate LCM of 233,8545

Lowest Common Multiple of 233,8545 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1990985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1990985

Therefore, the GCF of Fractions 1474/233,1975/8545 is 1/1990985

Least Common Multiple of 233,8545 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 233,8545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,8545) = 1

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

GCF(233,8545) x common factors =1 x 1 = 1

LCM(233,8545) = ( 233 × 8545 ) / 1

LCM(233,8545) = 1990985 / 1

LCM(233,8545) = 1990985

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FAQs on GCF of Fractions of 1474/233, 1975/8545

1. What is the HCF of 1474,1975?

The HCF of 1474,1975 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 1474/233, 1975/8545?

Answer: GCF of Numerators as per given numbers 1474/233, 1975/8545 is

GCF of Numerators i.e. for 1474,1975 is 1

LCM of denominators i.e. for 233,8545 is 1990985.

Thus, GCF of Fractions is 1/1990985.Finally, GCF of Fractions for 1474/233, 1975/8545 is 1/1990985.