GCF of 6250/988, 2321/3036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6250/988, 2321/3036 i.e 1/749892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6250/988, 2321/3036.
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 6250/988,2321/3036?
Given fractions are 6250/988,2321/3036
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 6250/988,2321/3036, numerators are 6250,2321
Denominators are 988,3036
The GCF of 6250,2321 is 1 .
LCM of 988,3036 is 749892.
The greatest common factor of 6250/988,2321/3036 = [GCF of 6250,2321]/[LCM of 988,3036]= 1/749892
Therefore, the GCF of 6250/988,2321/3036 is 1/749892.
To find the highest common factor of 6250,2321, 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 2321 are 1, 11, 211, 2321
The HCF of 6250,2321 is 1.
Lets's calculate GCF of 6250,2321
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6250,2321 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 2321
:1,11,211,2321
Greatest Common Factor
We found the factors 6250,2321 . The biggest common factor number is the GCF number.
So the greatest common factor 6250,2321 is 1.
Lets's calculate LCM of 988,3036
| 2 | 988, 3036 |
| 2 | 494, 1518 |
| 247, 759 |
∴ So the LCM of the given numbers is 2 x 2 x 247 x 759 = 749892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749892
Therefore, the GCF of Fractions 6250/988,2321/3036 is 1/749892
Least Common Multiple of 988,3036 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 988,3036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,3036) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(988,3036) x common factors =4 x 1 = 4
LCM(988,3036) = ( 988 × 3036 ) / 4
LCM(988,3036) = 2999568 / 4
LCM(988,3036) = 749892
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FAQs on GCF of Fractions of 6250/988, 2321/3036
1. What is the HCF of 6250,2321?
The HCF of 6250,2321 is 1
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 6250/988, 2321/3036?
Answer: GCF of Numerators as per given numbers 6250/988, 2321/3036 is
GCF of Numerators i.e. for 6250,2321 is 1
LCM of denominators i.e. for 988,3036 is 749892.
Thus, GCF of Fractions is 1/749892.Finally, GCF of Fractions for 6250/988, 2321/3036 is 1/749892.