GCF of 6177/112, 3172/7994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6177/112, 3172/7994 i.e 1/63952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6177/112, 3172/7994.
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 6177/112,3172/7994?
Given fractions are 6177/112,3172/7994
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 6177/112,3172/7994, numerators are 6177,3172
Denominators are 112,7994
The GCF of 6177,3172 is 1 .
LCM of 112,7994 is 63952.
The greatest common factor of 6177/112,3172/7994 = [GCF of 6177,3172]/[LCM of 112,7994]= 1/63952
Therefore, the GCF of 6177/112,3172/7994 is 1/63952.
To find the highest common factor of 6177,3172, we have to find the factors of both numbers and list the highest common factor.
The factors of 6177 are 1, 3, 29, 71, 87, 213, 2059, 6177
The factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172
The HCF of 6177,3172 is 1.
Lets's calculate GCF of 6177,3172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6177,3172 By Matching Biggest Common Factor Method
Now, list down the factors of 6177
:1,3,29,71,87,213,2059,6177
Now, list down the factors of 3172
:1,2,4,13,26,52,61,122,244,793,1586,3172
Greatest Common Factor
We found the factors 6177,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 6177,3172 is 1.
Lets's calculate LCM of 112,7994
| 2 | 112, 7994 |
| 7 | 56, 3997 |
| 8, 571 |
∴ So the LCM of the given numbers is 2 x 7 x 8 x 571 = 63952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63952
Therefore, the GCF of Fractions 6177/112,3172/7994 is 1/63952
Least Common Multiple of 112,7994 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 112,7994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,7994) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(112,7994) x common factors =14 x 1 = 14
LCM(112,7994) = ( 112 × 7994 ) / 14
LCM(112,7994) = 895328 / 14
LCM(112,7994) = 63952
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FAQs on GCF of Fractions of 6177/112, 3172/7994
1. What is the HCF of 6177,3172?
The HCF of 6177,3172 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 6177/112, 3172/7994?
Answer: GCF of Numerators as per given numbers 6177/112, 3172/7994 is
GCF of Numerators i.e. for 6177,3172 is 1
LCM of denominators i.e. for 112,7994 is 63952.
Thus, GCF of Fractions is 1/63952.Finally, GCF of Fractions for 6177/112, 3172/7994 is 1/63952.