GCF of 7940/140, 2274/3415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7940/140, 2274/3415 i.e 2/95620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7940/140, 2274/3415.
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 7940/140,2274/3415?
Given fractions are 7940/140,2274/3415
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 7940/140,2274/3415, numerators are 7940,2274
Denominators are 140,3415
The GCF of 7940,2274 is 2 .
LCM of 140,3415 is 95620.
The greatest common factor of 7940/140,2274/3415 = [GCF of 7940,2274]/[LCM of 140,3415]= 2/95620
Therefore, the GCF of 7940/140,2274/3415 is 2/95620.
To find the highest common factor of 7940,2274, 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 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The HCF of 7940,2274 is 2.
Lets's calculate GCF of 7940,2274
| 2 | 7940, 2274 |
| 3970, 1137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7940,2274 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 2274
:1,2,3,6,379,758,1137,2274
Greatest Common Factor
We found the factors 7940,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 7940,2274 is 2.
Lets's calculate LCM of 140,3415
| 5 | 140, 3415 |
| 28, 683 |
∴ So the LCM of the given numbers is 5 x 28 x 683 = 95620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95620
Therefore, the GCF of Fractions 7940/140,2274/3415 is 2/95620
Least Common Multiple of 140,3415 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 140,3415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,3415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(140,3415) x common factors =5 x 1 = 5
LCM(140,3415) = ( 140 × 3415 ) / 5
LCM(140,3415) = 478100 / 5
LCM(140,3415) = 95620
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FAQs on GCF of Fractions of 7940/140, 2274/3415
1. What is the HCF of 7940,2274?
The HCF of 7940,2274 is 2
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 7940/140, 2274/3415?
Answer: GCF of Numerators as per given numbers 7940/140, 2274/3415 is
GCF of Numerators i.e. for 7940,2274 is 2
LCM of denominators i.e. for 140,3415 is 95620.
Thus, GCF of Fractions is 2/95620.Finally, GCF of Fractions for 7940/140, 2274/3415 is 2/95620.