How to Find GCF of 4378/57, 4274/622?

GCF of 4378/57, 4274/622

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 4378/57, 4274/622 i.e 2/35454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4378/57, 4274/622.

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 4378/57,4274/622?

Given fractions are 4378/57,4274/622

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 4378/57,4274/622, numerators are 4378,4274

Denominators are 57,622

The GCF of 4378,4274 is 2 .

LCM of 57,622 is 35454.

The greatest common factor of 4378/57,4274/622 = [GCF of 4378,4274]/[LCM of 57,622]= 2/35454

Therefore, the GCF of 4378/57,4274/622 is 2/35454.

Greatest Common Factor of 4378,4274

To find the highest common factor of 4378,4274, we have to find the factors of both numbers and list the highest common factor.

The factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378

The factors of 4274 are 1, 2, 2137, 4274

The HCF of 4378,4274 is 2.

Lets's calculate GCF of 4378,4274

Greatest Common Factor (GCF) of 4378,4274 By Common Division

2	4378, 4274
	2189, 2137

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

Greatest Common Factor of 4378,4274 By Matching Biggest Common Factor Method

Now, list down the factors of 4378

1,2,11,22,199,398,2189,4378

Now, list down the factors of 4274

1,2,2137,4274

Greatest Common Factor

We found the factors 4378,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 4378,4274 is 2.

Lets's calculate LCM of 57,622

Lowest Common Multiple of 57,622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 35454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35454

Therefore, the GCF of Fractions 4378/57,4274/622 is 2/35454

Least Common Multiple of 57,622 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 57,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,622) = 1

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

GCF(57,622) x common factors =1 x 1 = 1

LCM(57,622) = ( 57 × 622 ) / 1

LCM(57,622) = 35454 / 1

LCM(57,622) = 35454

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FAQs on GCF of Fractions of 4378/57, 4274/622

1. What is the HCF of 4378,4274?

The HCF of 4378,4274 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 4378/57, 4274/622?

Answer: GCF of Numerators as per given numbers 4378/57, 4274/622 is

GCF of Numerators i.e. for 4378,4274 is 2

LCM of denominators i.e. for 57,622 is 35454.

Thus, GCF of Fractions is 2/35454.Finally, GCF of Fractions for 4378/57, 4274/622 is 2/35454.