GCF of 6712/511, 7408/7684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6712/511, 7408/7684 i.e 8/3926524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6712/511, 7408/7684.
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 6712/511,7408/7684?
Given fractions are 6712/511,7408/7684
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 6712/511,7408/7684, numerators are 6712,7408
Denominators are 511,7684
The GCF of 6712,7408 is 8 .
LCM of 511,7684 is 3926524.
The greatest common factor of 6712/511,7408/7684 = [GCF of 6712,7408]/[LCM of 511,7684]= 8/3926524
Therefore, the GCF of 6712/511,7408/7684 is 8/3926524.
To find the highest common factor of 6712,7408, we have to find the factors of both numbers and list the highest common factor.
The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712
The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408
The HCF of 6712,7408 is 8.
Lets's calculate GCF of 6712,7408
| 2 | 6712, 7408 |
| 2 | 3356, 3704 |
| 2 | 1678, 1852 |
| 839, 926 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6712,7408 By Matching Biggest Common Factor Method
Now, list down the factors of 6712
:1,2,4,8,839,1678,3356,6712
Now, list down the factors of 7408
:1,2,4,8,16,463,926,1852,3704,7408
Greatest Common Factor
We found the factors 6712,7408 . The biggest common factor number is the GCF number.
So the greatest common factor 6712,7408 is 8.
Lets's calculate LCM of 511,7684
Given numbers has no common factors except 1. So, there LCM is their product i.e 3926524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3926524
Therefore, the GCF of Fractions 6712/511,7408/7684 is 8/3926524
Least Common Multiple of 511,7684 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 511,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,7684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,7684) x common factors =1 x 1 = 1
LCM(511,7684) = ( 511 × 7684 ) / 1
LCM(511,7684) = 3926524 / 1
LCM(511,7684) = 3926524
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FAQs on GCF of Fractions of 6712/511, 7408/7684
1. What is the HCF of 6712,7408?
The HCF of 6712,7408 is 8
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 6712/511, 7408/7684?
Answer: GCF of Numerators as per given numbers 6712/511, 7408/7684 is
GCF of Numerators i.e. for 6712,7408 is 8
LCM of denominators i.e. for 511,7684 is 3926524.
Thus, GCF of Fractions is 8/3926524.Finally, GCF of Fractions for 6712/511, 7408/7684 is 8/3926524.