GCF of 6692/228, 8675/4946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6692/228, 8675/4946 i.e 1/563844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6692/228, 8675/4946.
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 6692/228,8675/4946?
Given fractions are 6692/228,8675/4946
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 6692/228,8675/4946, numerators are 6692,8675
Denominators are 228,4946
The GCF of 6692,8675 is 1 .
LCM of 228,4946 is 563844.
The greatest common factor of 6692/228,8675/4946 = [GCF of 6692,8675]/[LCM of 228,4946]= 1/563844
Therefore, the GCF of 6692/228,8675/4946 is 1/563844.
To find the highest common factor of 6692,8675, we have to find the factors of both numbers and list the highest common factor.
The factors of 6692 are 1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692
The factors of 8675 are 1, 5, 25, 347, 1735, 8675
The HCF of 6692,8675 is 1.
Lets's calculate GCF of 6692,8675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6692,8675 By Matching Biggest Common Factor Method
Now, list down the factors of 6692
:1,2,4,7,14,28,239,478,956,1673,3346,6692
Now, list down the factors of 8675
:1,5,25,347,1735,8675
Greatest Common Factor
We found the factors 6692,8675 . The biggest common factor number is the GCF number.
So the greatest common factor 6692,8675 is 1.
Lets's calculate LCM of 228,4946
| 2 | 228, 4946 |
| 114, 2473 |
∴ So the LCM of the given numbers is 2 x 114 x 2473 = 563844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563844
Therefore, the GCF of Fractions 6692/228,8675/4946 is 1/563844
Least Common Multiple of 228,4946 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 228,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,4946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,4946) x common factors =2 x 1 = 2
LCM(228,4946) = ( 228 × 4946 ) / 2
LCM(228,4946) = 1127688 / 2
LCM(228,4946) = 563844
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FAQs on GCF of Fractions of 6692/228, 8675/4946
1. What is the HCF of 6692,8675?
The HCF of 6692,8675 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 6692/228, 8675/4946?
Answer: GCF of Numerators as per given numbers 6692/228, 8675/4946 is
GCF of Numerators i.e. for 6692,8675 is 1
LCM of denominators i.e. for 228,4946 is 563844.
Thus, GCF of Fractions is 1/563844.Finally, GCF of Fractions for 6692/228, 8675/4946 is 1/563844.