GCF of 7848/959, 8157/6178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7848/959, 8157/6178 i.e 3/5924702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7848/959, 8157/6178.
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 7848/959,8157/6178?
Given fractions are 7848/959,8157/6178
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 7848/959,8157/6178, numerators are 7848,8157
Denominators are 959,6178
The GCF of 7848,8157 is 3 .
LCM of 959,6178 is 5924702.
The greatest common factor of 7848/959,8157/6178 = [GCF of 7848,8157]/[LCM of 959,6178]= 3/5924702
Therefore, the GCF of 7848/959,8157/6178 is 3/5924702.
To find the highest common factor of 7848,8157, we have to find the factors of both numbers and list the highest common factor.
The factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848
The factors of 8157 are 1, 3, 2719, 8157
The HCF of 7848,8157 is 3.
Lets's calculate GCF of 7848,8157
| 3 | 7848, 8157 |
| 2616, 2719 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7848,8157 By Matching Biggest Common Factor Method
Now, list down the factors of 7848
:1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Now, list down the factors of 8157
:1,3,2719,8157
Greatest Common Factor
We found the factors 7848,8157 . The biggest common factor number is the GCF number.
So the greatest common factor 7848,8157 is 3.
Lets's calculate LCM of 959,6178
Given numbers has no common factors except 1. So, there LCM is their product i.e 5924702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5924702
Therefore, the GCF of Fractions 7848/959,8157/6178 is 3/5924702
Least Common Multiple of 959,6178 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 959,6178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,6178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,6178) x common factors =1 x 1 = 1
LCM(959,6178) = ( 959 × 6178 ) / 1
LCM(959,6178) = 5924702 / 1
LCM(959,6178) = 5924702
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FAQs on GCF of Fractions of 7848/959, 8157/6178
1. What is the HCF of 7848,8157?
The HCF of 7848,8157 is 3
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 7848/959, 8157/6178?
Answer: GCF of Numerators as per given numbers 7848/959, 8157/6178 is
GCF of Numerators i.e. for 7848,8157 is 3
LCM of denominators i.e. for 959,6178 is 5924702.
Thus, GCF of Fractions is 3/5924702.Finally, GCF of Fractions for 7848/959, 8157/6178 is 3/5924702.