GCF of 8264/657, 6414/7785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8264/657, 6414/7785 i.e 2/568305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8264/657, 6414/7785.
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 8264/657,6414/7785?
Given fractions are 8264/657,6414/7785
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 8264/657,6414/7785, numerators are 8264,6414
Denominators are 657,7785
The GCF of 8264,6414 is 2 .
LCM of 657,7785 is 568305.
The greatest common factor of 8264/657,6414/7785 = [GCF of 8264,6414]/[LCM of 657,7785]= 2/568305
Therefore, the GCF of 8264/657,6414/7785 is 2/568305.
To find the highest common factor of 8264,6414, we have to find the factors of both numbers and list the highest common factor.
The factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264
The factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414
The HCF of 8264,6414 is 2.
Lets's calculate GCF of 8264,6414
| 2 | 8264, 6414 |
| 4132, 3207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8264,6414 By Matching Biggest Common Factor Method
Now, list down the factors of 8264
:1,2,4,8,1033,2066,4132,8264
Now, list down the factors of 6414
:1,2,3,6,1069,2138,3207,6414
Greatest Common Factor
We found the factors 8264,6414 . The biggest common factor number is the GCF number.
So the greatest common factor 8264,6414 is 2.
Lets's calculate LCM of 657,7785
| 3 | 657, 7785 |
| 3 | 219, 2595 |
| 73, 865 |
∴ So the LCM of the given numbers is 3 x 3 x 73 x 865 = 568305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/568305
Therefore, the GCF of Fractions 8264/657,6414/7785 is 2/568305
Least Common Multiple of 657,7785 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 657,7785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,7785) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(657,7785) x common factors =9 x 1 = 9
LCM(657,7785) = ( 657 × 7785 ) / 9
LCM(657,7785) = 5114745 / 9
LCM(657,7785) = 568305
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FAQs on GCF of Fractions of 8264/657, 6414/7785
1. What is the HCF of 8264,6414?
The HCF of 8264,6414 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 8264/657, 6414/7785?
Answer: GCF of Numerators as per given numbers 8264/657, 6414/7785 is
GCF of Numerators i.e. for 8264,6414 is 2
LCM of denominators i.e. for 657,7785 is 568305.
Thus, GCF of Fractions is 2/568305.Finally, GCF of Fractions for 8264/657, 6414/7785 is 2/568305.