GCF of 4364/718, 2360/1990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4364/718, 2360/1990 i.e 4/714410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4364/718, 2360/1990.
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 4364/718,2360/1990?
Given fractions are 4364/718,2360/1990
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 4364/718,2360/1990, numerators are 4364,2360
Denominators are 718,1990
The GCF of 4364,2360 is 4 .
LCM of 718,1990 is 714410.
The greatest common factor of 4364/718,2360/1990 = [GCF of 4364,2360]/[LCM of 718,1990]= 4/714410
Therefore, the GCF of 4364/718,2360/1990 is 4/714410.
To find the highest common factor of 4364,2360, we have to find the factors of both numbers and list the highest common factor.
The factors of 4364 are 1, 2, 4, 1091, 2182, 4364
The factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360
The HCF of 4364,2360 is 4.
Lets's calculate GCF of 4364,2360
| 2 | 4364, 2360 |
| 2 | 2182, 1180 |
| 1091, 590 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4364,2360 By Matching Biggest Common Factor Method
Now, list down the factors of 4364
:1,2,4,1091,2182,4364
Now, list down the factors of 2360
:1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Greatest Common Factor
We found the factors 4364,2360 . The biggest common factor number is the GCF number.
So the greatest common factor 4364,2360 is 4.
Lets's calculate LCM of 718,1990
| 2 | 718, 1990 |
| 359, 995 |
∴ So the LCM of the given numbers is 2 x 359 x 995 = 714410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/714410
Therefore, the GCF of Fractions 4364/718,2360/1990 is 4/714410
Least Common Multiple of 718,1990 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 718,1990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,1990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,1990) x common factors =2 x 1 = 2
LCM(718,1990) = ( 718 × 1990 ) / 2
LCM(718,1990) = 1428820 / 2
LCM(718,1990) = 714410
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FAQs on GCF of Fractions of 4364/718, 2360/1990
1. What is the HCF of 4364,2360?
The HCF of 4364,2360 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 4364/718, 2360/1990?
Answer: GCF of Numerators as per given numbers 4364/718, 2360/1990 is
GCF of Numerators i.e. for 4364,2360 is 4
LCM of denominators i.e. for 718,1990 is 714410.
Thus, GCF of Fractions is 4/714410.Finally, GCF of Fractions for 4364/718, 2360/1990 is 4/714410.