GCF of 9911/870, 7106/6761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9911/870, 7106/6761 i.e 187/5882070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9911/870, 7106/6761.
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 9911/870,7106/6761?
Given fractions are 9911/870,7106/6761
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 9911/870,7106/6761, numerators are 9911,7106
Denominators are 870,6761
The GCF of 9911,7106 is 187 .
LCM of 870,6761 is 5882070.
The greatest common factor of 9911/870,7106/6761 = [GCF of 9911,7106]/[LCM of 870,6761]= 187/5882070
Therefore, the GCF of 9911/870,7106/6761 is 187/5882070.
To find the highest common factor of 9911,7106, we have to find the factors of both numbers and list the highest common factor.
The factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911
The factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106
The HCF of 9911,7106 is 187.
Lets's calculate GCF of 9911,7106
| 11 | 9911, 7106 |
| 17 | 901, 646 |
| 53, 38 |
∴ So the GCF of the given numbers is 11 x 17 = 187
Greatest Common Factor of 9911,7106 By Matching Biggest Common Factor Method
Now, list down the factors of 9911
:1,11,17,53,187,583,901,9911
Now, list down the factors of 7106
:1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Greatest Common Factor
We found the factors 9911,7106 . The biggest common factor number is the GCF number.
So the greatest common factor 9911,7106 is 187.
Lets's calculate LCM of 870,6761
Given numbers has no common factors except 1. So, there LCM is their product i.e 5882070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 187/5882070
Therefore, the GCF of Fractions 9911/870,7106/6761 is 187/5882070
Least Common Multiple of 870,6761 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 870,6761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,6761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(870,6761) x common factors =1 x 1 = 1
LCM(870,6761) = ( 870 × 6761 ) / 1
LCM(870,6761) = 5882070 / 1
LCM(870,6761) = 5882070
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FAQs on GCF of Fractions of 9911/870, 7106/6761
1. What is the HCF of 9911,7106?
The HCF of 9911,7106 is 187
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 9911/870, 7106/6761?
Answer: GCF of Numerators as per given numbers 9911/870, 7106/6761 is
GCF of Numerators i.e. for 9911,7106 is 187
LCM of denominators i.e. for 870,6761 is 5882070.
Thus, GCF of Fractions is 187/5882070.Finally, GCF of Fractions for 9911/870, 7106/6761 is 187/5882070.