How to Find GCF of 9050/257, 2128/7144?

GCF of 9050/257, 2128/7144

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 9050/257, 2128/7144 i.e 2/1836008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9050/257, 2128/7144.

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 9050/257,2128/7144?

Given fractions are 9050/257,2128/7144

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 9050/257,2128/7144, numerators are 9050,2128

Denominators are 257,7144

The GCF of 9050,2128 is 2 .

LCM of 257,7144 is 1836008.

The greatest common factor of 9050/257,2128/7144 = [GCF of 9050,2128]/[LCM of 257,7144]= 2/1836008

Therefore, the GCF of 9050/257,2128/7144 is 2/1836008.

Greatest Common Factor of 9050,2128

To find the highest common factor of 9050,2128, we have to find the factors of both numbers and list the highest common factor.

The factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050

The factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128

The HCF of 9050,2128 is 2.

Lets's calculate GCF of 9050,2128

Greatest Common Factor (GCF) of 9050,2128 By Common Division

2	9050, 2128
	4525, 1064

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

Greatest Common Factor of 9050,2128 By Matching Biggest Common Factor Method

Now, list down the factors of 9050

1,2,5,10,25,50,181,362,905,1810,4525,9050

Now, list down the factors of 2128

1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128

Greatest Common Factor

We found the factors 9050,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 9050,2128 is 2.

Lets's calculate LCM of 257,7144

Lowest Common Multiple of 257,7144 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1836008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1836008

Therefore, the GCF of Fractions 9050/257,2128/7144 is 2/1836008

Least Common Multiple of 257,7144 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 257,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,7144) = 1

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

GCF(257,7144) x common factors =1 x 1 = 1

LCM(257,7144) = ( 257 × 7144 ) / 1

LCM(257,7144) = 1836008 / 1

LCM(257,7144) = 1836008

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FAQs on GCF of Fractions of 9050/257, 2128/7144

1. What is the HCF of 9050,2128?

The HCF of 9050,2128 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 9050/257, 2128/7144?

Answer: GCF of Numerators as per given numbers 9050/257, 2128/7144 is

GCF of Numerators i.e. for 9050,2128 is 2

LCM of denominators i.e. for 257,7144 is 1836008.

Thus, GCF of Fractions is 2/1836008.Finally, GCF of Fractions for 9050/257, 2128/7144 is 2/1836008.