GCF of 6250/497, 9332/5036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6250/497, 9332/5036 i.e 2/2502892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6250/497, 9332/5036.
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 6250/497,9332/5036?
Given fractions are 6250/497,9332/5036
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 6250/497,9332/5036, numerators are 6250,9332
Denominators are 497,5036
The GCF of 6250,9332 is 2 .
LCM of 497,5036 is 2502892.
The greatest common factor of 6250/497,9332/5036 = [GCF of 6250,9332]/[LCM of 497,5036]= 2/2502892
Therefore, the GCF of 6250/497,9332/5036 is 2/2502892.
To find the highest common factor of 6250,9332, we have to find the factors of both numbers and list the highest common factor.
The factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250
The factors of 9332 are 1, 2, 4, 2333, 4666, 9332
The HCF of 6250,9332 is 2.
Lets's calculate GCF of 6250,9332
| 2 | 6250, 9332 |
| 3125, 4666 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6250,9332 By Matching Biggest Common Factor Method
Now, list down the factors of 6250
:1,2,5,10,25,50,125,250,625,1250,3125,6250
Now, list down the factors of 9332
:1,2,4,2333,4666,9332
Greatest Common Factor
We found the factors 6250,9332 . The biggest common factor number is the GCF number.
So the greatest common factor 6250,9332 is 2.
Lets's calculate LCM of 497,5036
Given numbers has no common factors except 1. So, there LCM is their product i.e 2502892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2502892
Therefore, the GCF of Fractions 6250/497,9332/5036 is 2/2502892
Least Common Multiple of 497,5036 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 497,5036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,5036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,5036) x common factors =1 x 1 = 1
LCM(497,5036) = ( 497 × 5036 ) / 1
LCM(497,5036) = 2502892 / 1
LCM(497,5036) = 2502892
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FAQs on GCF of Fractions of 6250/497, 9332/5036
1. What is the HCF of 6250,9332?
The HCF of 6250,9332 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 6250/497, 9332/5036?
Answer: GCF of Numerators as per given numbers 6250/497, 9332/5036 is
GCF of Numerators i.e. for 6250,9332 is 2
LCM of denominators i.e. for 497,5036 is 2502892.
Thus, GCF of Fractions is 2/2502892.Finally, GCF of Fractions for 6250/497, 9332/5036 is 2/2502892.