GCF of 9755/392, 6771/7712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9755/392, 6771/7712 i.e 1/377888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9755/392, 6771/7712.
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 9755/392,6771/7712?
Given fractions are 9755/392,6771/7712
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 9755/392,6771/7712, numerators are 9755,6771
Denominators are 392,7712
The GCF of 9755,6771 is 1 .
LCM of 392,7712 is 377888.
The greatest common factor of 9755/392,6771/7712 = [GCF of 9755,6771]/[LCM of 392,7712]= 1/377888
Therefore, the GCF of 9755/392,6771/7712 is 1/377888.
To find the highest common factor of 9755,6771, we have to find the factors of both numbers and list the highest common factor.
The factors of 9755 are 1, 5, 1951, 9755
The factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771
The HCF of 9755,6771 is 1.
Lets's calculate GCF of 9755,6771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9755,6771 By Matching Biggest Common Factor Method
Now, list down the factors of 9755
:1,5,1951,9755
Now, list down the factors of 6771
:1,3,37,61,111,183,2257,6771
Greatest Common Factor
We found the factors 9755,6771 . The biggest common factor number is the GCF number.
So the greatest common factor 9755,6771 is 1.
Lets's calculate LCM of 392,7712
| 2 | 392, 7712 |
| 2 | 196, 3856 |
| 2 | 98, 1928 |
| 49, 964 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 964 = 377888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377888
Therefore, the GCF of Fractions 9755/392,6771/7712 is 1/377888
Least Common Multiple of 392,7712 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 392,7712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,7712) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(392,7712) x common factors =8 x 1 = 8
LCM(392,7712) = ( 392 × 7712 ) / 8
LCM(392,7712) = 3023104 / 8
LCM(392,7712) = 377888
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FAQs on GCF of Fractions of 9755/392, 6771/7712
1. What is the HCF of 9755,6771?
The HCF of 9755,6771 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 9755/392, 6771/7712?
Answer: GCF of Numerators as per given numbers 9755/392, 6771/7712 is
GCF of Numerators i.e. for 9755,6771 is 1
LCM of denominators i.e. for 392,7712 is 377888.
Thus, GCF of Fractions is 1/377888.Finally, GCF of Fractions for 9755/392, 6771/7712 is 1/377888.