GCF of 1391/892, 8335/7944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1391/892, 8335/7944 i.e 1/1771512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1391/892, 8335/7944.
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 1391/892,8335/7944?
Given fractions are 1391/892,8335/7944
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 1391/892,8335/7944, numerators are 1391,8335
Denominators are 892,7944
The GCF of 1391,8335 is 1 .
LCM of 892,7944 is 1771512.
The greatest common factor of 1391/892,8335/7944 = [GCF of 1391,8335]/[LCM of 892,7944]= 1/1771512
Therefore, the GCF of 1391/892,8335/7944 is 1/1771512.
To find the highest common factor of 1391,8335, we have to find the factors of both numbers and list the highest common factor.
The factors of 1391 are 1, 13, 107, 1391
The factors of 8335 are 1, 5, 1667, 8335
The HCF of 1391,8335 is 1.
Lets's calculate GCF of 1391,8335
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1391,8335 By Matching Biggest Common Factor Method
Now, list down the factors of 1391
:1,13,107,1391
Now, list down the factors of 8335
:1,5,1667,8335
Greatest Common Factor
We found the factors 1391,8335 . The biggest common factor number is the GCF number.
So the greatest common factor 1391,8335 is 1.
Lets's calculate LCM of 892,7944
| 2 | 892, 7944 |
| 2 | 446, 3972 |
| 223, 1986 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 1986 = 1771512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1771512
Therefore, the GCF of Fractions 1391/892,8335/7944 is 1/1771512
Least Common Multiple of 892,7944 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 892,7944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,7944) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,7944) x common factors =4 x 1 = 4
LCM(892,7944) = ( 892 × 7944 ) / 4
LCM(892,7944) = 7086048 / 4
LCM(892,7944) = 1771512
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FAQs on GCF of Fractions of 1391/892, 8335/7944
1. What is the HCF of 1391,8335?
The HCF of 1391,8335 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 1391/892, 8335/7944?
Answer: GCF of Numerators as per given numbers 1391/892, 8335/7944 is
GCF of Numerators i.e. for 1391,8335 is 1
LCM of denominators i.e. for 892,7944 is 1771512.
Thus, GCF of Fractions is 1/1771512.Finally, GCF of Fractions for 1391/892, 8335/7944 is 1/1771512.