GCF of 625/83, 942/1947
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 625/83, 942/1947 i.e 1/161601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/83, 942/1947.
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 625/83,942/1947?
Given fractions are 625/83,942/1947
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 625/83,942/1947, numerators are 625,942
Denominators are 83,1947
The GCF of 625,942 is 1 .
LCM of 83,1947 is 161601.
The greatest common factor of 625/83,942/1947 = [GCF of 625,942]/[LCM of 83,1947]= 1/161601
Therefore, the GCF of 625/83,942/1947 is 1/161601.
To find the highest common factor of 625,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 625 are 1, 5, 25, 125, 625
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 625,942 is 1.
Lets's calculate GCF of 625,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 625,942 By Matching Biggest Common Factor Method
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 625,942 . The biggest common factor number is the GCF number.
So the greatest common factor 625,942 is 1.
Lets's calculate LCM of 83,1947
Given numbers has no common factors except 1. So, there LCM is their product i.e 161601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161601
Therefore, the GCF of Fractions 625/83,942/1947 is 1/161601
Least Common Multiple of 83,1947 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 83,1947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,1947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,1947) x common factors =1 x 1 = 1
LCM(83,1947) = ( 83 × 1947 ) / 1
LCM(83,1947) = 161601 / 1
LCM(83,1947) = 161601
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FAQs on GCF of Fractions of 625/83, 942/1947
1. What is the HCF of 625,942?
The HCF of 625,942 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 625/83, 942/1947?
Answer: GCF of Numerators as per given numbers 625/83, 942/1947 is
GCF of Numerators i.e. for 625,942 is 1
LCM of denominators i.e. for 83,1947 is 161601.
Thus, GCF of Fractions is 1/161601.Finally, GCF of Fractions for 625/83, 942/1947 is 1/161601.