How to Find GCF of 1474/857, 4054/9020?

GCF of 1474/857, 4054/9020

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 1474/857, 4054/9020 i.e 2/7730140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1474/857, 4054/9020.

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 1474/857,4054/9020?

Given fractions are 1474/857,4054/9020

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 1474/857,4054/9020, numerators are 1474,4054

Denominators are 857,9020

The GCF of 1474,4054 is 2 .

LCM of 857,9020 is 7730140.

The greatest common factor of 1474/857,4054/9020 = [GCF of 1474,4054]/[LCM of 857,9020]= 2/7730140

Therefore, the GCF of 1474/857,4054/9020 is 2/7730140.

Greatest Common Factor of 1474,4054

To find the highest common factor of 1474,4054, 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 4054 are 1, 2, 2027, 4054

The HCF of 1474,4054 is 2.

Lets's calculate GCF of 1474,4054

Greatest Common Factor (GCF) of 1474,4054 By Common Division

2	1474, 4054
	737, 2027

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1474,4054 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 4054

1,2,2027,4054

Greatest Common Factor

We found the factors 1474,4054 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,4054 is 2.

Lets's calculate LCM of 857,9020

Lowest Common Multiple of 857,9020 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7730140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7730140

Therefore, the GCF of Fractions 1474/857,4054/9020 is 2/7730140

Least Common Multiple of 857,9020 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 857,9020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,9020) = 1

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

GCF(857,9020) x common factors =1 x 1 = 1

LCM(857,9020) = ( 857 × 9020 ) / 1

LCM(857,9020) = 7730140 / 1

LCM(857,9020) = 7730140

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1474/857, 4054/9020

1. What is the HCF of 1474,4054?

The HCF of 1474,4054 is 2

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 1474/857, 4054/9020?

Answer: GCF of Numerators as per given numbers 1474/857, 4054/9020 is

GCF of Numerators i.e. for 1474,4054 is 2

LCM of denominators i.e. for 857,9020 is 7730140.

Thus, GCF of Fractions is 2/7730140.Finally, GCF of Fractions for 1474/857, 4054/9020 is 2/7730140.