GCF of 7940/153, 1340/6359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7940/153, 1340/6359 i.e 20/972927 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7940/153, 1340/6359.
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 7940/153,1340/6359?
Given fractions are 7940/153,1340/6359
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 7940/153,1340/6359, numerators are 7940,1340
Denominators are 153,6359
The GCF of 7940,1340 is 20 .
LCM of 153,6359 is 972927.
The greatest common factor of 7940/153,1340/6359 = [GCF of 7940,1340]/[LCM of 153,6359]= 20/972927
Therefore, the GCF of 7940/153,1340/6359 is 20/972927.
To find the highest common factor of 7940,1340, we have to find the factors of both numbers and list the highest common factor.
The factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940
The factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
The HCF of 7940,1340 is 20.
Lets's calculate GCF of 7940,1340
| 2 | 7940, 1340 |
| 2 | 3970, 670 |
| 5 | 1985, 335 |
| 397, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 7940,1340 By Matching Biggest Common Factor Method
Now, list down the factors of 7940
:1,2,4,5,10,20,397,794,1588,1985,3970,7940
Now, list down the factors of 1340
:1,2,4,5,10,20,67,134,268,335,670,1340
Greatest Common Factor
We found the factors 7940,1340 . The biggest common factor number is the GCF number.
So the greatest common factor 7940,1340 is 20.
Lets's calculate LCM of 153,6359
Given numbers has no common factors except 1. So, there LCM is their product i.e 972927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/972927
Therefore, the GCF of Fractions 7940/153,1340/6359 is 20/972927
Least Common Multiple of 153,6359 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 153,6359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,6359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,6359) x common factors =1 x 1 = 1
LCM(153,6359) = ( 153 × 6359 ) / 1
LCM(153,6359) = 972927 / 1
LCM(153,6359) = 972927
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FAQs on GCF of Fractions of 7940/153, 1340/6359
1. What is the HCF of 7940,1340?
The HCF of 7940,1340 is 20
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 7940/153, 1340/6359?
Answer: GCF of Numerators as per given numbers 7940/153, 1340/6359 is
GCF of Numerators i.e. for 7940,1340 is 20
LCM of denominators i.e. for 153,6359 is 972927.
Thus, GCF of Fractions is 20/972927.Finally, GCF of Fractions for 7940/153, 1340/6359 is 20/972927.