GCF of 2428/125, 8967/4337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2428/125, 8967/4337 i.e 1/542125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2428/125, 8967/4337.
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 2428/125,8967/4337?
Given fractions are 2428/125,8967/4337
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 2428/125,8967/4337, numerators are 2428,8967
Denominators are 125,4337
The GCF of 2428,8967 is 1 .
LCM of 125,4337 is 542125.
The greatest common factor of 2428/125,8967/4337 = [GCF of 2428,8967]/[LCM of 125,4337]= 1/542125
Therefore, the GCF of 2428/125,8967/4337 is 1/542125.
To find the highest common factor of 2428,8967, we have to find the factors of both numbers and list the highest common factor.
The factors of 2428 are 1, 2, 4, 607, 1214, 2428
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The HCF of 2428,8967 is 1.
Lets's calculate GCF of 2428,8967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2428,8967 By Matching Biggest Common Factor Method
Now, list down the factors of 2428
:1,2,4,607,1214,2428
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Greatest Common Factor
We found the factors 2428,8967 . The biggest common factor number is the GCF number.
So the greatest common factor 2428,8967 is 1.
Lets's calculate LCM of 125,4337
Given numbers has no common factors except 1. So, there LCM is their product i.e 542125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/542125
Therefore, the GCF of Fractions 2428/125,8967/4337 is 1/542125
Least Common Multiple of 125,4337 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 125,4337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,4337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,4337) x common factors =1 x 1 = 1
LCM(125,4337) = ( 125 × 4337 ) / 1
LCM(125,4337) = 542125 / 1
LCM(125,4337) = 542125
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FAQs on GCF of Fractions of 2428/125, 8967/4337
1. What is the HCF of 2428,8967?
The HCF of 2428,8967 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 2428/125, 8967/4337?
Answer: GCF of Numerators as per given numbers 2428/125, 8967/4337 is
GCF of Numerators i.e. for 2428,8967 is 1
LCM of denominators i.e. for 125,4337 is 542125.
Thus, GCF of Fractions is 1/542125.Finally, GCF of Fractions for 2428/125, 8967/4337 is 1/542125.