GCF of 4157/654, 8251/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4157/654, 8251/678 i.e 1/73902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4157/654, 8251/678.
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 4157/654,8251/678?
Given fractions are 4157/654,8251/678
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 4157/654,8251/678, numerators are 4157,8251
Denominators are 654,678
The GCF of 4157,8251 is 1 .
LCM of 654,678 is 73902.
The greatest common factor of 4157/654,8251/678 = [GCF of 4157,8251]/[LCM of 654,678]= 1/73902
Therefore, the GCF of 4157/654,8251/678 is 1/73902.
To find the highest common factor of 4157,8251, we have to find the factors of both numbers and list the highest common factor.
The factors of 4157 are 1, 4157
The factors of 8251 are 1, 37, 223, 8251
The HCF of 4157,8251 is 1.
Lets's calculate GCF of 4157,8251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4157,8251 By Matching Biggest Common Factor Method
Now, list down the factors of 4157
:1,4157
Now, list down the factors of 8251
:1,37,223,8251
Greatest Common Factor
We found the factors 4157,8251 . The biggest common factor number is the GCF number.
So the greatest common factor 4157,8251 is 1.
Lets's calculate LCM of 654,678
| 2 | 654, 678 |
| 3 | 327, 339 |
| 109, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 113 = 73902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73902
Therefore, the GCF of Fractions 4157/654,8251/678 is 1/73902
Least Common Multiple of 654,678 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 654,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,678) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,678) x common factors =6 x 1 = 6
LCM(654,678) = ( 654 × 678 ) / 6
LCM(654,678) = 443412 / 6
LCM(654,678) = 73902
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FAQs on GCF of Fractions of 4157/654, 8251/678
1. What is the HCF of 4157,8251?
The HCF of 4157,8251 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 4157/654, 8251/678?
Answer: GCF of Numerators as per given numbers 4157/654, 8251/678 is
GCF of Numerators i.e. for 4157,8251 is 1
LCM of denominators i.e. for 654,678 is 73902.
Thus, GCF of Fractions is 1/73902.Finally, GCF of Fractions for 4157/654, 8251/678 is 1/73902.