GCF of 8024/123, 7967/4747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8024/123, 7967/4747 i.e 1/583881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8024/123, 7967/4747.
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 8024/123,7967/4747?
Given fractions are 8024/123,7967/4747
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 8024/123,7967/4747, numerators are 8024,7967
Denominators are 123,4747
The GCF of 8024,7967 is 1 .
LCM of 123,4747 is 583881.
The greatest common factor of 8024/123,7967/4747 = [GCF of 8024,7967]/[LCM of 123,4747]= 1/583881
Therefore, the GCF of 8024/123,7967/4747 is 1/583881.
To find the highest common factor of 8024,7967, we have to find the factors of both numbers and list the highest common factor.
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The factors of 7967 are 1, 31, 257, 7967
The HCF of 8024,7967 is 1.
Lets's calculate GCF of 8024,7967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8024,7967 By Matching Biggest Common Factor Method
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Now, list down the factors of 7967
:1,31,257,7967
Greatest Common Factor
We found the factors 8024,7967 . The biggest common factor number is the GCF number.
So the greatest common factor 8024,7967 is 1.
Lets's calculate LCM of 123,4747
Given numbers has no common factors except 1. So, there LCM is their product i.e 583881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583881
Therefore, the GCF of Fractions 8024/123,7967/4747 is 1/583881
Least Common Multiple of 123,4747 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 123,4747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,4747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,4747) x common factors =1 x 1 = 1
LCM(123,4747) = ( 123 × 4747 ) / 1
LCM(123,4747) = 583881 / 1
LCM(123,4747) = 583881
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FAQs on GCF of Fractions of 8024/123, 7967/4747
1. What is the HCF of 8024,7967?
The HCF of 8024,7967 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 8024/123, 7967/4747?
Answer: GCF of Numerators as per given numbers 8024/123, 7967/4747 is
GCF of Numerators i.e. for 8024,7967 is 1
LCM of denominators i.e. for 123,4747 is 583881.
Thus, GCF of Fractions is 1/583881.Finally, GCF of Fractions for 8024/123, 7967/4747 is 1/583881.