GCF of 6884/986, 5466/9648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6884/986, 5466/9648 i.e 2/4756464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6884/986, 5466/9648.
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 6884/986,5466/9648?
Given fractions are 6884/986,5466/9648
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 6884/986,5466/9648, numerators are 6884,5466
Denominators are 986,9648
The GCF of 6884,5466 is 2 .
LCM of 986,9648 is 4756464.
The greatest common factor of 6884/986,5466/9648 = [GCF of 6884,5466]/[LCM of 986,9648]= 2/4756464
Therefore, the GCF of 6884/986,5466/9648 is 2/4756464.
To find the highest common factor of 6884,5466, we have to find the factors of both numbers and list the highest common factor.
The factors of 6884 are 1, 2, 4, 1721, 3442, 6884
The factors of 5466 are 1, 2, 3, 6, 911, 1822, 2733, 5466
The HCF of 6884,5466 is 2.
Lets's calculate GCF of 6884,5466
| 2 | 6884, 5466 |
| 3442, 2733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6884,5466 By Matching Biggest Common Factor Method
Now, list down the factors of 6884
:1,2,4,1721,3442,6884
Now, list down the factors of 5466
:1,2,3,6,911,1822,2733,5466
Greatest Common Factor
We found the factors 6884,5466 . The biggest common factor number is the GCF number.
So the greatest common factor 6884,5466 is 2.
Lets's calculate LCM of 986,9648
| 2 | 986, 9648 |
| 493, 4824 |
∴ So the LCM of the given numbers is 2 x 493 x 4824 = 4756464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4756464
Therefore, the GCF of Fractions 6884/986,5466/9648 is 2/4756464
Least Common Multiple of 986,9648 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 986,9648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,9648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,9648) x common factors =2 x 1 = 2
LCM(986,9648) = ( 986 × 9648 ) / 2
LCM(986,9648) = 9512928 / 2
LCM(986,9648) = 4756464
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FAQs on GCF of Fractions of 6884/986, 5466/9648
1. What is the HCF of 6884,5466?
The HCF of 6884,5466 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 6884/986, 5466/9648?
Answer: GCF of Numerators as per given numbers 6884/986, 5466/9648 is
GCF of Numerators i.e. for 6884,5466 is 2
LCM of denominators i.e. for 986,9648 is 4756464.
Thus, GCF of Fractions is 2/4756464.Finally, GCF of Fractions for 6884/986, 5466/9648 is 2/4756464.