GCF of 4596/615, 2188/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4596/615, 2188/574 i.e 4/8610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4596/615, 2188/574.
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 4596/615,2188/574?
Given fractions are 4596/615,2188/574
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 4596/615,2188/574, numerators are 4596,2188
Denominators are 615,574
The GCF of 4596,2188 is 4 .
LCM of 615,574 is 8610.
The greatest common factor of 4596/615,2188/574 = [GCF of 4596,2188]/[LCM of 615,574]= 4/8610
Therefore, the GCF of 4596/615,2188/574 is 4/8610.
To find the highest common factor of 4596,2188, we have to find the factors of both numbers and list the highest common factor.
The factors of 4596 are 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596
The factors of 2188 are 1, 2, 4, 547, 1094, 2188
The HCF of 4596,2188 is 4.
Lets's calculate GCF of 4596,2188
| 2 | 4596, 2188 |
| 2 | 2298, 1094 |
| 1149, 547 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4596,2188 By Matching Biggest Common Factor Method
Now, list down the factors of 4596
:1,2,3,4,6,12,383,766,1149,1532,2298,4596
Now, list down the factors of 2188
:1,2,4,547,1094,2188
Greatest Common Factor
We found the factors 4596,2188 . The biggest common factor number is the GCF number.
So the greatest common factor 4596,2188 is 4.
Lets's calculate LCM of 615,574
| 41 | 615, 574 |
| 15, 14 |
∴ So the LCM of the given numbers is 41 x 15 x 14 = 8610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8610
Therefore, the GCF of Fractions 4596/615,2188/574 is 4/8610
Least Common Multiple of 615,574 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 615,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,574) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(615,574) x common factors =41 x 1 = 41
LCM(615,574) = ( 615 × 574 ) / 41
LCM(615,574) = 353010 / 41
LCM(615,574) = 8610
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FAQs on GCF of Fractions of 4596/615, 2188/574
1. What is the HCF of 4596,2188?
The HCF of 4596,2188 is 4
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 4596/615, 2188/574?
Answer: GCF of Numerators as per given numbers 4596/615, 2188/574 is
GCF of Numerators i.e. for 4596,2188 is 4
LCM of denominators i.e. for 615,574 is 8610.
Thus, GCF of Fractions is 4/8610.Finally, GCF of Fractions for 4596/615, 2188/574 is 4/8610.