GCF of 6119/681, 9912/7086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6119/681, 9912/7086 i.e 1/1608522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6119/681, 9912/7086.
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 6119/681,9912/7086?
Given fractions are 6119/681,9912/7086
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 6119/681,9912/7086, numerators are 6119,9912
Denominators are 681,7086
The GCF of 6119,9912 is 1 .
LCM of 681,7086 is 1608522.
The greatest common factor of 6119/681,9912/7086 = [GCF of 6119,9912]/[LCM of 681,7086]= 1/1608522
Therefore, the GCF of 6119/681,9912/7086 is 1/1608522.
To find the highest common factor of 6119,9912, we have to find the factors of both numbers and list the highest common factor.
The factors of 6119 are 1, 29, 211, 6119
The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912
The HCF of 6119,9912 is 1.
Lets's calculate GCF of 6119,9912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6119,9912 By Matching Biggest Common Factor Method
Now, list down the factors of 6119
:1,29,211,6119
Now, list down the factors of 9912
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Greatest Common Factor
We found the factors 6119,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 6119,9912 is 1.
Lets's calculate LCM of 681,7086
| 3 | 681, 7086 |
| 227, 2362 |
∴ So the LCM of the given numbers is 3 x 227 x 2362 = 1608522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1608522
Therefore, the GCF of Fractions 6119/681,9912/7086 is 1/1608522
Least Common Multiple of 681,7086 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 681,7086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,7086) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,7086) x common factors =3 x 1 = 3
LCM(681,7086) = ( 681 × 7086 ) / 3
LCM(681,7086) = 4825566 / 3
LCM(681,7086) = 1608522
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FAQs on GCF of Fractions of 6119/681, 9912/7086
1. What is the HCF of 6119,9912?
The HCF of 6119,9912 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 6119/681, 9912/7086?
Answer: GCF of Numerators as per given numbers 6119/681, 9912/7086 is
GCF of Numerators i.e. for 6119,9912 is 1
LCM of denominators i.e. for 681,7086 is 1608522.
Thus, GCF of Fractions is 1/1608522.Finally, GCF of Fractions for 6119/681, 9912/7086 is 1/1608522.