GCF of 4628/738, 4361/6135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4628/738, 4361/6135 i.e 89/1509210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4628/738, 4361/6135.
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 4628/738,4361/6135?
Given fractions are 4628/738,4361/6135
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 4628/738,4361/6135, numerators are 4628,4361
Denominators are 738,6135
The GCF of 4628,4361 is 89 .
LCM of 738,6135 is 1509210.
The greatest common factor of 4628/738,4361/6135 = [GCF of 4628,4361]/[LCM of 738,6135]= 89/1509210
Therefore, the GCF of 4628/738,4361/6135 is 89/1509210.
To find the highest common factor of 4628,4361, we have to find the factors of both numbers and list the highest common factor.
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The factors of 4361 are 1, 7, 49, 89, 623, 4361
The HCF of 4628,4361 is 89.
Lets's calculate GCF of 4628,4361
| 89 | 4628, 4361 |
| 52, 49 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 4628,4361 By Matching Biggest Common Factor Method
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Now, list down the factors of 4361
:1,7,49,89,623,4361
Greatest Common Factor
We found the factors 4628,4361 . The biggest common factor number is the GCF number.
So the greatest common factor 4628,4361 is 89.
Lets's calculate LCM of 738,6135
| 3 | 738, 6135 |
| 246, 2045 |
∴ So the LCM of the given numbers is 3 x 246 x 2045 = 1509210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/1509210
Therefore, the GCF of Fractions 4628/738,4361/6135 is 89/1509210
Least Common Multiple of 738,6135 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 738,6135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,6135) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(738,6135) x common factors =3 x 1 = 3
LCM(738,6135) = ( 738 × 6135 ) / 3
LCM(738,6135) = 4527630 / 3
LCM(738,6135) = 1509210
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FAQs on GCF of Fractions of 4628/738, 4361/6135
1. What is the HCF of 4628,4361?
The HCF of 4628,4361 is 89
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 4628/738, 4361/6135?
Answer: GCF of Numerators as per given numbers 4628/738, 4361/6135 is
GCF of Numerators i.e. for 4628,4361 is 89
LCM of denominators i.e. for 738,6135 is 1509210.
Thus, GCF of Fractions is 89/1509210.Finally, GCF of Fractions for 4628/738, 4361/6135 is 89/1509210.