GCF of 2478/724, 5030/5714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2478/724, 5030/5714 i.e 2/2068468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2478/724, 5030/5714.
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 2478/724,5030/5714?
Given fractions are 2478/724,5030/5714
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 2478/724,5030/5714, numerators are 2478,5030
Denominators are 724,5714
The GCF of 2478,5030 is 2 .
LCM of 724,5714 is 2068468.
The greatest common factor of 2478/724,5030/5714 = [GCF of 2478,5030]/[LCM of 724,5714]= 2/2068468
Therefore, the GCF of 2478/724,5030/5714 is 2/2068468.
To find the highest common factor of 2478,5030, we have to find the factors of both numbers and list the highest common factor.
The factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478
The factors of 5030 are 1, 2, 5, 10, 503, 1006, 2515, 5030
The HCF of 2478,5030 is 2.
Lets's calculate GCF of 2478,5030
| 2 | 2478, 5030 |
| 1239, 2515 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2478,5030 By Matching Biggest Common Factor Method
Now, list down the factors of 2478
:1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478
Now, list down the factors of 5030
:1,2,5,10,503,1006,2515,5030
Greatest Common Factor
We found the factors 2478,5030 . The biggest common factor number is the GCF number.
So the greatest common factor 2478,5030 is 2.
Lets's calculate LCM of 724,5714
| 2 | 724, 5714 |
| 362, 2857 |
∴ So the LCM of the given numbers is 2 x 362 x 2857 = 2068468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2068468
Therefore, the GCF of Fractions 2478/724,5030/5714 is 2/2068468
Least Common Multiple of 724,5714 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 724,5714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,5714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,5714) x common factors =2 x 1 = 2
LCM(724,5714) = ( 724 × 5714 ) / 2
LCM(724,5714) = 4136936 / 2
LCM(724,5714) = 2068468
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FAQs on GCF of Fractions of 2478/724, 5030/5714
1. What is the HCF of 2478,5030?
The HCF of 2478,5030 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 2478/724, 5030/5714?
Answer: GCF of Numerators as per given numbers 2478/724, 5030/5714 is
GCF of Numerators i.e. for 2478,5030 is 2
LCM of denominators i.e. for 724,5714 is 2068468.
Thus, GCF of Fractions is 2/2068468.Finally, GCF of Fractions for 2478/724, 5030/5714 is 2/2068468.