GCF of 7527/178, 4967/8566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7527/178, 4967/8566 i.e 1/762374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7527/178, 4967/8566.
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 7527/178,4967/8566?
Given fractions are 7527/178,4967/8566
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 7527/178,4967/8566, numerators are 7527,4967
Denominators are 178,8566
The GCF of 7527,4967 is 1 .
LCM of 178,8566 is 762374.
The greatest common factor of 7527/178,4967/8566 = [GCF of 7527,4967]/[LCM of 178,8566]= 1/762374
Therefore, the GCF of 7527/178,4967/8566 is 1/762374.
To find the highest common factor of 7527,4967, we have to find the factors of both numbers and list the highest common factor.
The factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527
The factors of 4967 are 1, 4967
The HCF of 7527,4967 is 1.
Lets's calculate GCF of 7527,4967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7527,4967 By Matching Biggest Common Factor Method
Now, list down the factors of 7527
:1,3,13,39,193,579,2509,7527
Now, list down the factors of 4967
:1,4967
Greatest Common Factor
We found the factors 7527,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 7527,4967 is 1.
Lets's calculate LCM of 178,8566
| 2 | 178, 8566 |
| 89, 4283 |
∴ So the LCM of the given numbers is 2 x 89 x 4283 = 762374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762374
Therefore, the GCF of Fractions 7527/178,4967/8566 is 1/762374
Least Common Multiple of 178,8566 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 178,8566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,8566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,8566) x common factors =2 x 1 = 2
LCM(178,8566) = ( 178 × 8566 ) / 2
LCM(178,8566) = 1524748 / 2
LCM(178,8566) = 762374
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FAQs on GCF of Fractions of 7527/178, 4967/8566
1. What is the HCF of 7527,4967?
The HCF of 7527,4967 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 7527/178, 4967/8566?
Answer: GCF of Numerators as per given numbers 7527/178, 4967/8566 is
GCF of Numerators i.e. for 7527,4967 is 1
LCM of denominators i.e. for 178,8566 is 762374.
Thus, GCF of Fractions is 1/762374.Finally, GCF of Fractions for 7527/178, 4967/8566 is 1/762374.