GCF of 7567/134, 8268/3017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7567/134, 8268/3017 i.e 1/404278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7567/134, 8268/3017.
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 7567/134,8268/3017?
Given fractions are 7567/134,8268/3017
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 7567/134,8268/3017, numerators are 7567,8268
Denominators are 134,3017
The GCF of 7567,8268 is 1 .
LCM of 134,3017 is 404278.
The greatest common factor of 7567/134,8268/3017 = [GCF of 7567,8268]/[LCM of 134,3017]= 1/404278
Therefore, the GCF of 7567/134,8268/3017 is 1/404278.
To find the highest common factor of 7567,8268, we have to find the factors of both numbers and list the highest common factor.
The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567
The factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268
The HCF of 7567,8268 is 1.
Lets's calculate GCF of 7567,8268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7567,8268 By Matching Biggest Common Factor Method
Now, list down the factors of 7567
:1,7,23,47,161,329,1081,7567
Now, list down the factors of 8268
:1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268
Greatest Common Factor
We found the factors 7567,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 7567,8268 is 1.
Lets's calculate LCM of 134,3017
Given numbers has no common factors except 1. So, there LCM is their product i.e 404278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404278
Therefore, the GCF of Fractions 7567/134,8268/3017 is 1/404278
Least Common Multiple of 134,3017 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 134,3017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,3017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,3017) x common factors =1 x 1 = 1
LCM(134,3017) = ( 134 × 3017 ) / 1
LCM(134,3017) = 404278 / 1
LCM(134,3017) = 404278
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FAQs on GCF of Fractions of 7567/134, 8268/3017
1. What is the HCF of 7567,8268?
The HCF of 7567,8268 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 7567/134, 8268/3017?
Answer: GCF of Numerators as per given numbers 7567/134, 8268/3017 is
GCF of Numerators i.e. for 7567,8268 is 1
LCM of denominators i.e. for 134,3017 is 404278.
Thus, GCF of Fractions is 1/404278.Finally, GCF of Fractions for 7567/134, 8268/3017 is 1/404278.