GCF of 6847/578, 7504/666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6847/578, 7504/666 i.e 1/192474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6847/578, 7504/666.
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 6847/578,7504/666?
Given fractions are 6847/578,7504/666
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 6847/578,7504/666, numerators are 6847,7504
Denominators are 578,666
The GCF of 6847,7504 is 1 .
LCM of 578,666 is 192474.
The greatest common factor of 6847/578,7504/666 = [GCF of 6847,7504]/[LCM of 578,666]= 1/192474
Therefore, the GCF of 6847/578,7504/666 is 1/192474.
To find the highest common factor of 6847,7504, we have to find the factors of both numbers and list the highest common factor.
The factors of 6847 are 1, 41, 167, 6847
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The HCF of 6847,7504 is 1.
Lets's calculate GCF of 6847,7504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6847,7504 By Matching Biggest Common Factor Method
Now, list down the factors of 6847
:1,41,167,6847
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 6847,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 6847,7504 is 1.
Lets's calculate LCM of 578,666
| 2 | 578, 666 |
| 289, 333 |
∴ So the LCM of the given numbers is 2 x 289 x 333 = 192474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192474
Therefore, the GCF of Fractions 6847/578,7504/666 is 1/192474
Least Common Multiple of 578,666 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 578,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,666) x common factors =2 x 1 = 2
LCM(578,666) = ( 578 × 666 ) / 2
LCM(578,666) = 384948 / 2
LCM(578,666) = 192474
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FAQs on GCF of Fractions of 6847/578, 7504/666
1. What is the HCF of 6847,7504?
The HCF of 6847,7504 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 6847/578, 7504/666?
Answer: GCF of Numerators as per given numbers 6847/578, 7504/666 is
GCF of Numerators i.e. for 6847,7504 is 1
LCM of denominators i.e. for 578,666 is 192474.
Thus, GCF of Fractions is 1/192474.Finally, GCF of Fractions for 6847/578, 7504/666 is 1/192474.