GCF of 6456/675, 6231/9714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6456/675, 6231/9714 i.e 3/2185650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6456/675, 6231/9714.
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 6456/675,6231/9714?
Given fractions are 6456/675,6231/9714
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 6456/675,6231/9714, numerators are 6456,6231
Denominators are 675,9714
The GCF of 6456,6231 is 3 .
LCM of 675,9714 is 2185650.
The greatest common factor of 6456/675,6231/9714 = [GCF of 6456,6231]/[LCM of 675,9714]= 3/2185650
Therefore, the GCF of 6456/675,6231/9714 is 3/2185650.
To find the highest common factor of 6456,6231, we have to find the factors of both numbers and list the highest common factor.
The factors of 6456 are 1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456
The factors of 6231 are 1, 3, 31, 67, 93, 201, 2077, 6231
The HCF of 6456,6231 is 3.
Lets's calculate GCF of 6456,6231
| 3 | 6456, 6231 |
| 2152, 2077 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6456,6231 By Matching Biggest Common Factor Method
Now, list down the factors of 6456
:1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456
Now, list down the factors of 6231
:1,3,31,67,93,201,2077,6231
Greatest Common Factor
We found the factors 6456,6231 . The biggest common factor number is the GCF number.
So the greatest common factor 6456,6231 is 3.
Lets's calculate LCM of 675,9714
| 3 | 675, 9714 |
| 225, 3238 |
∴ So the LCM of the given numbers is 3 x 225 x 3238 = 2185650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2185650
Therefore, the GCF of Fractions 6456/675,6231/9714 is 3/2185650
Least Common Multiple of 675,9714 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 675,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,9714) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(675,9714) x common factors =3 x 1 = 3
LCM(675,9714) = ( 675 × 9714 ) / 3
LCM(675,9714) = 6556950 / 3
LCM(675,9714) = 2185650
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FAQs on GCF of Fractions of 6456/675, 6231/9714
1. What is the HCF of 6456,6231?
The HCF of 6456,6231 is 3
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 6456/675, 6231/9714?
Answer: GCF of Numerators as per given numbers 6456/675, 6231/9714 is
GCF of Numerators i.e. for 6456,6231 is 3
LCM of denominators i.e. for 675,9714 is 2185650.
Thus, GCF of Fractions is 3/2185650.Finally, GCF of Fractions for 6456/675, 6231/9714 is 3/2185650.