GCF of 4372/895, 9557/9094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4372/895, 9557/9094 i.e 1/8139130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4372/895, 9557/9094.
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 4372/895,9557/9094?
Given fractions are 4372/895,9557/9094
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 4372/895,9557/9094, numerators are 4372,9557
Denominators are 895,9094
The GCF of 4372,9557 is 1 .
LCM of 895,9094 is 8139130.
The greatest common factor of 4372/895,9557/9094 = [GCF of 4372,9557]/[LCM of 895,9094]= 1/8139130
Therefore, the GCF of 4372/895,9557/9094 is 1/8139130.
To find the highest common factor of 4372,9557, we have to find the factors of both numbers and list the highest common factor.
The factors of 4372 are 1, 2, 4, 1093, 2186, 4372
The factors of 9557 are 1, 19, 503, 9557
The HCF of 4372,9557 is 1.
Lets's calculate GCF of 4372,9557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4372,9557 By Matching Biggest Common Factor Method
Now, list down the factors of 4372
:1,2,4,1093,2186,4372
Now, list down the factors of 9557
:1,19,503,9557
Greatest Common Factor
We found the factors 4372,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 4372,9557 is 1.
Lets's calculate LCM of 895,9094
Given numbers has no common factors except 1. So, there LCM is their product i.e 8139130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8139130
Therefore, the GCF of Fractions 4372/895,9557/9094 is 1/8139130
Least Common Multiple of 895,9094 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 895,9094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,9094) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,9094) x common factors =1 x 1 = 1
LCM(895,9094) = ( 895 × 9094 ) / 1
LCM(895,9094) = 8139130 / 1
LCM(895,9094) = 8139130
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FAQs on GCF of Fractions of 4372/895, 9557/9094
1. What is the HCF of 4372,9557?
The HCF of 4372,9557 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 4372/895, 9557/9094?
Answer: GCF of Numerators as per given numbers 4372/895, 9557/9094 is
GCF of Numerators i.e. for 4372,9557 is 1
LCM of denominators i.e. for 895,9094 is 8139130.
Thus, GCF of Fractions is 1/8139130.Finally, GCF of Fractions for 4372/895, 9557/9094 is 1/8139130.