GCF of 7911/127, 7767/9678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7911/127, 7767/9678 i.e 9/1229106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7911/127, 7767/9678.
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 7911/127,7767/9678?
Given fractions are 7911/127,7767/9678
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 7911/127,7767/9678, numerators are 7911,7767
Denominators are 127,9678
The GCF of 7911,7767 is 9 .
LCM of 127,9678 is 1229106.
The greatest common factor of 7911/127,7767/9678 = [GCF of 7911,7767]/[LCM of 127,9678]= 9/1229106
Therefore, the GCF of 7911/127,7767/9678 is 9/1229106.
To find the highest common factor of 7911,7767, we have to find the factors of both numbers and list the highest common factor.
The factors of 7911 are 1, 3, 9, 27, 293, 879, 2637, 7911
The factors of 7767 are 1, 3, 9, 863, 2589, 7767
The HCF of 7911,7767 is 9.
Lets's calculate GCF of 7911,7767
| 3 | 7911, 7767 |
| 3 | 2637, 2589 |
| 879, 863 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7911,7767 By Matching Biggest Common Factor Method
Now, list down the factors of 7911
:1,3,9,27,293,879,2637,7911
Now, list down the factors of 7767
:1,3,9,863,2589,7767
Greatest Common Factor
We found the factors 7911,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 7911,7767 is 9.
Lets's calculate LCM of 127,9678
Given numbers has no common factors except 1. So, there LCM is their product i.e 1229106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1229106
Therefore, the GCF of Fractions 7911/127,7767/9678 is 9/1229106
Least Common Multiple of 127,9678 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 127,9678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,9678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,9678) x common factors =1 x 1 = 1
LCM(127,9678) = ( 127 × 9678 ) / 1
LCM(127,9678) = 1229106 / 1
LCM(127,9678) = 1229106
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FAQs on GCF of Fractions of 7911/127, 7767/9678
1. What is the HCF of 7911,7767?
The HCF of 7911,7767 is 9
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 7911/127, 7767/9678?
Answer: GCF of Numerators as per given numbers 7911/127, 7767/9678 is
GCF of Numerators i.e. for 7911,7767 is 9
LCM of denominators i.e. for 127,9678 is 1229106.
Thus, GCF of Fractions is 9/1229106.Finally, GCF of Fractions for 7911/127, 7767/9678 is 9/1229106.