GCF of 5204/889, 5624/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5204/889, 5624/344 i.e 4/305816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5204/889, 5624/344.
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 5204/889,5624/344?
Given fractions are 5204/889,5624/344
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 5204/889,5624/344, numerators are 5204,5624
Denominators are 889,344
The GCF of 5204,5624 is 4 .
LCM of 889,344 is 305816.
The greatest common factor of 5204/889,5624/344 = [GCF of 5204,5624]/[LCM of 889,344]= 4/305816
Therefore, the GCF of 5204/889,5624/344 is 4/305816.
To find the highest common factor of 5204,5624, we have to find the factors of both numbers and list the highest common factor.
The factors of 5204 are 1, 2, 4, 1301, 2602, 5204
The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624
The HCF of 5204,5624 is 4.
Lets's calculate GCF of 5204,5624
| 2 | 5204, 5624 |
| 2 | 2602, 2812 |
| 1301, 1406 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5204,5624 By Matching Biggest Common Factor Method
Now, list down the factors of 5204
:1,2,4,1301,2602,5204
Now, list down the factors of 5624
:1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624
Greatest Common Factor
We found the factors 5204,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 5204,5624 is 4.
Lets's calculate LCM of 889,344
Given numbers has no common factors except 1. So, there LCM is their product i.e 305816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/305816
Therefore, the GCF of Fractions 5204/889,5624/344 is 4/305816
Least Common Multiple of 889,344 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 889,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,344) x common factors =1 x 1 = 1
LCM(889,344) = ( 889 × 344 ) / 1
LCM(889,344) = 305816 / 1
LCM(889,344) = 305816
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FAQs on GCF of Fractions of 5204/889, 5624/344
1. What is the HCF of 5204,5624?
The HCF of 5204,5624 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 5204/889, 5624/344?
Answer: GCF of Numerators as per given numbers 5204/889, 5624/344 is
GCF of Numerators i.e. for 5204,5624 is 4
LCM of denominators i.e. for 889,344 is 305816.
Thus, GCF of Fractions is 4/305816.Finally, GCF of Fractions for 5204/889, 5624/344 is 4/305816.