GCF of 2470/376, 5772/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2470/376, 5772/415 i.e 26/156040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2470/376, 5772/415.
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 2470/376,5772/415?
Given fractions are 2470/376,5772/415
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 2470/376,5772/415, numerators are 2470,5772
Denominators are 376,415
The GCF of 2470,5772 is 26 .
LCM of 376,415 is 156040.
The greatest common factor of 2470/376,5772/415 = [GCF of 2470,5772]/[LCM of 376,415]= 26/156040
Therefore, the GCF of 2470/376,5772/415 is 26/156040.
To find the highest common factor of 2470,5772, we have to find the factors of both numbers and list the highest common factor.
The factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470
The factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772
The HCF of 2470,5772 is 26.
Lets's calculate GCF of 2470,5772
| 2 | 2470, 5772 |
| 13 | 1235, 2886 |
| 95, 222 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 2470,5772 By Matching Biggest Common Factor Method
Now, list down the factors of 2470
:1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470
Now, list down the factors of 5772
:1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772
Greatest Common Factor
We found the factors 2470,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 2470,5772 is 26.
Lets's calculate LCM of 376,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 156040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/156040
Therefore, the GCF of Fractions 2470/376,5772/415 is 26/156040
Least Common Multiple of 376,415 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 376,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,415) x common factors =1 x 1 = 1
LCM(376,415) = ( 376 × 415 ) / 1
LCM(376,415) = 156040 / 1
LCM(376,415) = 156040
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FAQs on GCF of Fractions of 2470/376, 5772/415
1. What is the HCF of 2470,5772?
The HCF of 2470,5772 is 26
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 2470/376, 5772/415?
Answer: GCF of Numerators as per given numbers 2470/376, 5772/415 is
GCF of Numerators i.e. for 2470,5772 is 26
LCM of denominators i.e. for 376,415 is 156040.
Thus, GCF of Fractions is 26/156040.Finally, GCF of Fractions for 2470/376, 5772/415 is 26/156040.