How to Find GCF of 4297/332, 1128/2270?

GCF of 4297/332, 1128/2270

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 4297/332, 1128/2270 i.e 1/376820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4297/332, 1128/2270.

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 4297/332,1128/2270?

Given fractions are 4297/332,1128/2270

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 4297/332,1128/2270, numerators are 4297,1128

Denominators are 332,2270

The GCF of 4297,1128 is 1 .

LCM of 332,2270 is 376820.

The greatest common factor of 4297/332,1128/2270 = [GCF of 4297,1128]/[LCM of 332,2270]= 1/376820

Therefore, the GCF of 4297/332,1128/2270 is 1/376820.

Greatest Common Factor of 4297,1128

To find the highest common factor of 4297,1128, we have to find the factors of both numbers and list the highest common factor.

The factors of 4297 are 1, 4297

The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128

The HCF of 4297,1128 is 1.

Lets's calculate GCF of 4297,1128

Greatest Common Factor (GCF) of 4297,1128 By Common Division

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

Greatest Common Factor of 4297,1128 By Matching Biggest Common Factor Method

Now, list down the factors of 4297

1,4297

Now, list down the factors of 1128

1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128

Greatest Common Factor

We found the factors 4297,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 4297,1128 is 1.

Lets's calculate LCM of 332,2270

Lowest Common Multiple of 332,2270 using Common Division

2	332, 2270
	166, 1135

∴ So the LCM of the given numbers is 2 x 166 x 1135 = 376820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376820

Therefore, the GCF of Fractions 4297/332,1128/2270 is 1/376820

Least Common Multiple of 332,2270 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 332,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,2270) = 2

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

GCF(332,2270) x common factors =2 x 1 = 2

LCM(332,2270) = ( 332 × 2270 ) / 2

LCM(332,2270) = 753640 / 2

LCM(332,2270) = 376820

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FAQs on GCF of Fractions of 4297/332, 1128/2270

1. What is the HCF of 4297,1128?

The HCF of 4297,1128 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 4297/332, 1128/2270?

Answer: GCF of Numerators as per given numbers 4297/332, 1128/2270 is

GCF of Numerators i.e. for 4297,1128 is 1

LCM of denominators i.e. for 332,2270 is 376820.

Thus, GCF of Fractions is 1/376820.Finally, GCF of Fractions for 4297/332, 1128/2270 is 1/376820.