GCF of 7892/637, 1523/953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7892/637, 1523/953 i.e 1/607061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7892/637, 1523/953.
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 7892/637,1523/953?
Given fractions are 7892/637,1523/953
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 7892/637,1523/953, numerators are 7892,1523
Denominators are 637,953
The GCF of 7892,1523 is 1 .
LCM of 637,953 is 607061.
The greatest common factor of 7892/637,1523/953 = [GCF of 7892,1523]/[LCM of 637,953]= 1/607061
Therefore, the GCF of 7892/637,1523/953 is 1/607061.
To find the highest common factor of 7892,1523, we have to find the factors of both numbers and list the highest common factor.
The factors of 7892 are 1, 2, 4, 1973, 3946, 7892
The factors of 1523 are 1, 1523
The HCF of 7892,1523 is 1.
Lets's calculate GCF of 7892,1523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7892,1523 By Matching Biggest Common Factor Method
Now, list down the factors of 7892
:1,2,4,1973,3946,7892
Now, list down the factors of 1523
:1,1523
Greatest Common Factor
We found the factors 7892,1523 . The biggest common factor number is the GCF number.
So the greatest common factor 7892,1523 is 1.
Lets's calculate LCM of 637,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 607061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607061
Therefore, the GCF of Fractions 7892/637,1523/953 is 1/607061
Least Common Multiple of 637,953 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 637,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,953) x common factors =1 x 1 = 1
LCM(637,953) = ( 637 × 953 ) / 1
LCM(637,953) = 607061 / 1
LCM(637,953) = 607061
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FAQs on GCF of Fractions of 7892/637, 1523/953
1. What is the HCF of 7892,1523?
The HCF of 7892,1523 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 7892/637, 1523/953?
Answer: GCF of Numerators as per given numbers 7892/637, 1523/953 is
GCF of Numerators i.e. for 7892,1523 is 1
LCM of denominators i.e. for 637,953 is 607061.
Thus, GCF of Fractions is 1/607061.Finally, GCF of Fractions for 7892/637, 1523/953 is 1/607061.