GCF of 6407/324, 6251/5326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6407/324, 6251/5326 i.e 1/862812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6407/324, 6251/5326.
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 6407/324,6251/5326?
Given fractions are 6407/324,6251/5326
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 6407/324,6251/5326, numerators are 6407,6251
Denominators are 324,5326
The GCF of 6407,6251 is 1 .
LCM of 324,5326 is 862812.
The greatest common factor of 6407/324,6251/5326 = [GCF of 6407,6251]/[LCM of 324,5326]= 1/862812
Therefore, the GCF of 6407/324,6251/5326 is 1/862812.
To find the highest common factor of 6407,6251, we have to find the factors of both numbers and list the highest common factor.
The factors of 6407 are 1, 43, 149, 6407
The factors of 6251 are 1, 7, 19, 47, 133, 329, 893, 6251
The HCF of 6407,6251 is 1.
Lets's calculate GCF of 6407,6251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6407,6251 By Matching Biggest Common Factor Method
Now, list down the factors of 6407
:1,43,149,6407
Now, list down the factors of 6251
:1,7,19,47,133,329,893,6251
Greatest Common Factor
We found the factors 6407,6251 . The biggest common factor number is the GCF number.
So the greatest common factor 6407,6251 is 1.
Lets's calculate LCM of 324,5326
| 2 | 324, 5326 |
| 162, 2663 |
∴ So the LCM of the given numbers is 2 x 162 x 2663 = 862812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/862812
Therefore, the GCF of Fractions 6407/324,6251/5326 is 1/862812
Least Common Multiple of 324,5326 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 324,5326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,5326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,5326) x common factors =2 x 1 = 2
LCM(324,5326) = ( 324 × 5326 ) / 2
LCM(324,5326) = 1725624 / 2
LCM(324,5326) = 862812
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FAQs on GCF of Fractions of 6407/324, 6251/5326
1. What is the HCF of 6407,6251?
The HCF of 6407,6251 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 6407/324, 6251/5326?
Answer: GCF of Numerators as per given numbers 6407/324, 6251/5326 is
GCF of Numerators i.e. for 6407,6251 is 1
LCM of denominators i.e. for 324,5326 is 862812.
Thus, GCF of Fractions is 1/862812.Finally, GCF of Fractions for 6407/324, 6251/5326 is 1/862812.