GCF of 3894/191, 7722/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3894/191, 7722/681 i.e 66/130071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3894/191, 7722/681.
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 3894/191,7722/681?
Given fractions are 3894/191,7722/681
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 3894/191,7722/681, numerators are 3894,7722
Denominators are 191,681
The GCF of 3894,7722 is 66 .
LCM of 191,681 is 130071.
The greatest common factor of 3894/191,7722/681 = [GCF of 3894,7722]/[LCM of 191,681]= 66/130071
Therefore, the GCF of 3894/191,7722/681 is 66/130071.
To find the highest common factor of 3894,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The HCF of 3894,7722 is 66.
Lets's calculate GCF of 3894,7722
| 2 | 3894, 7722 |
| 3 | 1947, 3861 |
| 11 | 649, 1287 |
| 59, 117 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 3894,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 3894
:1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Greatest Common Factor
We found the factors 3894,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 3894,7722 is 66.
Lets's calculate LCM of 191,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 130071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/130071
Therefore, the GCF of Fractions 3894/191,7722/681 is 66/130071
Least Common Multiple of 191,681 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 191,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,681) x common factors =1 x 1 = 1
LCM(191,681) = ( 191 × 681 ) / 1
LCM(191,681) = 130071 / 1
LCM(191,681) = 130071
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FAQs on GCF of Fractions of 3894/191, 7722/681
1. What is the HCF of 3894,7722?
The HCF of 3894,7722 is 66
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 3894/191, 7722/681?
Answer: GCF of Numerators as per given numbers 3894/191, 7722/681 is
GCF of Numerators i.e. for 3894,7722 is 66
LCM of denominators i.e. for 191,681 is 130071.
Thus, GCF of Fractions is 66/130071.Finally, GCF of Fractions for 3894/191, 7722/681 is 66/130071.