GCF of 3156/868, 3194/9379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3156/868, 3194/9379 i.e 2/8140972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3156/868, 3194/9379.
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 3156/868,3194/9379?
Given fractions are 3156/868,3194/9379
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 3156/868,3194/9379, numerators are 3156,3194
Denominators are 868,9379
The GCF of 3156,3194 is 2 .
LCM of 868,9379 is 8140972.
The greatest common factor of 3156/868,3194/9379 = [GCF of 3156,3194]/[LCM of 868,9379]= 2/8140972
Therefore, the GCF of 3156/868,3194/9379 is 2/8140972.
To find the highest common factor of 3156,3194, we have to find the factors of both numbers and list the highest common factor.
The factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156
The factors of 3194 are 1, 2, 1597, 3194
The HCF of 3156,3194 is 2.
Lets's calculate GCF of 3156,3194
| 2 | 3156, 3194 |
| 1578, 1597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3156,3194 By Matching Biggest Common Factor Method
Now, list down the factors of 3156
:1,2,3,4,6,12,263,526,789,1052,1578,3156
Now, list down the factors of 3194
:1,2,1597,3194
Greatest Common Factor
We found the factors 3156,3194 . The biggest common factor number is the GCF number.
So the greatest common factor 3156,3194 is 2.
Lets's calculate LCM of 868,9379
Given numbers has no common factors except 1. So, there LCM is their product i.e 8140972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8140972
Therefore, the GCF of Fractions 3156/868,3194/9379 is 2/8140972
Least Common Multiple of 868,9379 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 868,9379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,9379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,9379) x common factors =1 x 1 = 1
LCM(868,9379) = ( 868 × 9379 ) / 1
LCM(868,9379) = 8140972 / 1
LCM(868,9379) = 8140972
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FAQs on GCF of Fractions of 3156/868, 3194/9379
1. What is the HCF of 3156,3194?
The HCF of 3156,3194 is 2
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 3156/868, 3194/9379?
Answer: GCF of Numerators as per given numbers 3156/868, 3194/9379 is
GCF of Numerators i.e. for 3156,3194 is 2
LCM of denominators i.e. for 868,9379 is 8140972.
Thus, GCF of Fractions is 2/8140972.Finally, GCF of Fractions for 3156/868, 3194/9379 is 2/8140972.