GCF of 6245/624, 3291/5364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6245/624, 3291/5364 i.e 1/278928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6245/624, 3291/5364.
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 6245/624,3291/5364?
Given fractions are 6245/624,3291/5364
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 6245/624,3291/5364, numerators are 6245,3291
Denominators are 624,5364
The GCF of 6245,3291 is 1 .
LCM of 624,5364 is 278928.
The greatest common factor of 6245/624,3291/5364 = [GCF of 6245,3291]/[LCM of 624,5364]= 1/278928
Therefore, the GCF of 6245/624,3291/5364 is 1/278928.
To find the highest common factor of 6245,3291, we have to find the factors of both numbers and list the highest common factor.
The factors of 6245 are 1, 5, 1249, 6245
The factors of 3291 are 1, 3, 1097, 3291
The HCF of 6245,3291 is 1.
Lets's calculate GCF of 6245,3291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6245,3291 By Matching Biggest Common Factor Method
Now, list down the factors of 6245
:1,5,1249,6245
Now, list down the factors of 3291
:1,3,1097,3291
Greatest Common Factor
We found the factors 6245,3291 . The biggest common factor number is the GCF number.
So the greatest common factor 6245,3291 is 1.
Lets's calculate LCM of 624,5364
| 2 | 624, 5364 |
| 2 | 312, 2682 |
| 3 | 156, 1341 |
| 52, 447 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 52 x 447 = 278928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278928
Therefore, the GCF of Fractions 6245/624,3291/5364 is 1/278928
Least Common Multiple of 624,5364 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 624,5364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5364) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5364) x common factors =12 x 1 = 12
LCM(624,5364) = ( 624 × 5364 ) / 12
LCM(624,5364) = 3347136 / 12
LCM(624,5364) = 278928
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FAQs on GCF of Fractions of 6245/624, 3291/5364
1. What is the HCF of 6245,3291?
The HCF of 6245,3291 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 6245/624, 3291/5364?
Answer: GCF of Numerators as per given numbers 6245/624, 3291/5364 is
GCF of Numerators i.e. for 6245,3291 is 1
LCM of denominators i.e. for 624,5364 is 278928.
Thus, GCF of Fractions is 1/278928.Finally, GCF of Fractions for 6245/624, 3291/5364 is 1/278928.