GCF of 2456/172, 7438/1420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2456/172, 7438/1420 i.e 2/61060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2456/172, 7438/1420.
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 2456/172,7438/1420?
Given fractions are 2456/172,7438/1420
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 2456/172,7438/1420, numerators are 2456,7438
Denominators are 172,1420
The GCF of 2456,7438 is 2 .
LCM of 172,1420 is 61060.
The greatest common factor of 2456/172,7438/1420 = [GCF of 2456,7438]/[LCM of 172,1420]= 2/61060
Therefore, the GCF of 2456/172,7438/1420 is 2/61060.
To find the highest common factor of 2456,7438, we have to find the factors of both numbers and list the highest common factor.
The factors of 2456 are 1, 2, 4, 8, 307, 614, 1228, 2456
The factors of 7438 are 1, 2, 3719, 7438
The HCF of 2456,7438 is 2.
Lets's calculate GCF of 2456,7438
| 2 | 2456, 7438 |
| 1228, 3719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2456,7438 By Matching Biggest Common Factor Method
Now, list down the factors of 2456
:1,2,4,8,307,614,1228,2456
Now, list down the factors of 7438
:1,2,3719,7438
Greatest Common Factor
We found the factors 2456,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 2456,7438 is 2.
Lets's calculate LCM of 172,1420
| 2 | 172, 1420 |
| 2 | 86, 710 |
| 43, 355 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 355 = 61060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61060
Therefore, the GCF of Fractions 2456/172,7438/1420 is 2/61060
Least Common Multiple of 172,1420 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 172,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,1420) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,1420) x common factors =4 x 1 = 4
LCM(172,1420) = ( 172 × 1420 ) / 4
LCM(172,1420) = 244240 / 4
LCM(172,1420) = 61060
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FAQs on GCF of Fractions of 2456/172, 7438/1420
1. What is the HCF of 2456,7438?
The HCF of 2456,7438 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 2456/172, 7438/1420?
Answer: GCF of Numerators as per given numbers 2456/172, 7438/1420 is
GCF of Numerators i.e. for 2456,7438 is 2
LCM of denominators i.e. for 172,1420 is 61060.
Thus, GCF of Fractions is 2/61060.Finally, GCF of Fractions for 2456/172, 7438/1420 is 2/61060.