GCF of 5215/624, 4917/5629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5215/624, 4917/5629 i.e 149/270192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5215/624, 4917/5629.
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 5215/624,4917/5629?
Given fractions are 5215/624,4917/5629
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 5215/624,4917/5629, numerators are 5215,4917
Denominators are 624,5629
The GCF of 5215,4917 is 149 .
LCM of 624,5629 is 270192.
The greatest common factor of 5215/624,4917/5629 = [GCF of 5215,4917]/[LCM of 624,5629]= 149/270192
Therefore, the GCF of 5215/624,4917/5629 is 149/270192.
To find the highest common factor of 5215,4917, we have to find the factors of both numbers and list the highest common factor.
The factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215
The factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917
The HCF of 5215,4917 is 149.
Lets's calculate GCF of 5215,4917
| 149 | 5215, 4917 |
| 35, 33 |
∴ So the GCF of the given numbers is 149 = 149
Greatest Common Factor of 5215,4917 By Matching Biggest Common Factor Method
Now, list down the factors of 5215
:1,5,7,35,149,745,1043,5215
Now, list down the factors of 4917
:1,3,11,33,149,447,1639,4917
Greatest Common Factor
We found the factors 5215,4917 . The biggest common factor number is the GCF number.
So the greatest common factor 5215,4917 is 149.
Lets's calculate LCM of 624,5629
| 13 | 624, 5629 |
| 48, 433 |
∴ So the LCM of the given numbers is 13 x 48 x 433 = 270192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 149/270192
Therefore, the GCF of Fractions 5215/624,4917/5629 is 149/270192
Least Common Multiple of 624,5629 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 624,5629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5629) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5629) x common factors =13 x 1 = 13
LCM(624,5629) = ( 624 × 5629 ) / 13
LCM(624,5629) = 3512496 / 13
LCM(624,5629) = 270192
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FAQs on GCF of Fractions of 5215/624, 4917/5629
1. What is the HCF of 5215,4917?
The HCF of 5215,4917 is 149
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 5215/624, 4917/5629?
Answer: GCF of Numerators as per given numbers 5215/624, 4917/5629 is
GCF of Numerators i.e. for 5215,4917 is 149
LCM of denominators i.e. for 624,5629 is 270192.
Thus, GCF of Fractions is 149/270192.Finally, GCF of Fractions for 5215/624, 4917/5629 is 149/270192.