GCF of 6590/250, 5364/6702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6590/250, 5364/6702 i.e 2/837750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6590/250, 5364/6702.
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 6590/250,5364/6702?
Given fractions are 6590/250,5364/6702
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 6590/250,5364/6702, numerators are 6590,5364
Denominators are 250,6702
The GCF of 6590,5364 is 2 .
LCM of 250,6702 is 837750.
The greatest common factor of 6590/250,5364/6702 = [GCF of 6590,5364]/[LCM of 250,6702]= 2/837750
Therefore, the GCF of 6590/250,5364/6702 is 2/837750.
To find the highest common factor of 6590,5364, we have to find the factors of both numbers and list the highest common factor.
The factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590
The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364
The HCF of 6590,5364 is 2.
Lets's calculate GCF of 6590,5364
| 2 | 6590, 5364 |
| 3295, 2682 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6590,5364 By Matching Biggest Common Factor Method
Now, list down the factors of 6590
:1,2,5,10,659,1318,3295,6590
Now, list down the factors of 5364
:1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Greatest Common Factor
We found the factors 6590,5364 . The biggest common factor number is the GCF number.
So the greatest common factor 6590,5364 is 2.
Lets's calculate LCM of 250,6702
| 2 | 250, 6702 |
| 125, 3351 |
∴ So the LCM of the given numbers is 2 x 125 x 3351 = 837750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/837750
Therefore, the GCF of Fractions 6590/250,5364/6702 is 2/837750
Least Common Multiple of 250,6702 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 250,6702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,6702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,6702) x common factors =2 x 1 = 2
LCM(250,6702) = ( 250 × 6702 ) / 2
LCM(250,6702) = 1675500 / 2
LCM(250,6702) = 837750
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FAQs on GCF of Fractions of 6590/250, 5364/6702
1. What is the HCF of 6590,5364?
The HCF of 6590,5364 is 2
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 6590/250, 5364/6702?
Answer: GCF of Numerators as per given numbers 6590/250, 5364/6702 is
GCF of Numerators i.e. for 6590,5364 is 2
LCM of denominators i.e. for 250,6702 is 837750.
Thus, GCF of Fractions is 2/837750.Finally, GCF of Fractions for 6590/250, 5364/6702 is 2/837750.