GCF of 6652/478, 4654/2809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6652/478, 4654/2809 i.e 2/1342702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6652/478, 4654/2809.
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 6652/478,4654/2809?
Given fractions are 6652/478,4654/2809
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 6652/478,4654/2809, numerators are 6652,4654
Denominators are 478,2809
The GCF of 6652,4654 is 2 .
LCM of 478,2809 is 1342702.
The greatest common factor of 6652/478,4654/2809 = [GCF of 6652,4654]/[LCM of 478,2809]= 2/1342702
Therefore, the GCF of 6652/478,4654/2809 is 2/1342702.
To find the highest common factor of 6652,4654, we have to find the factors of both numbers and list the highest common factor.
The factors of 6652 are 1, 2, 4, 1663, 3326, 6652
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
The HCF of 6652,4654 is 2.
Lets's calculate GCF of 6652,4654
| 2 | 6652, 4654 |
| 3326, 2327 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6652,4654 By Matching Biggest Common Factor Method
Now, list down the factors of 6652
:1,2,4,1663,3326,6652
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 6652,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 6652,4654 is 2.
Lets's calculate LCM of 478,2809
Given numbers has no common factors except 1. So, there LCM is their product i.e 1342702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1342702
Therefore, the GCF of Fractions 6652/478,4654/2809 is 2/1342702
Least Common Multiple of 478,2809 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 478,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,2809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,2809) x common factors =1 x 1 = 1
LCM(478,2809) = ( 478 × 2809 ) / 1
LCM(478,2809) = 1342702 / 1
LCM(478,2809) = 1342702
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FAQs on GCF of Fractions of 6652/478, 4654/2809
1. What is the HCF of 6652,4654?
The HCF of 6652,4654 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 6652/478, 4654/2809?
Answer: GCF of Numerators as per given numbers 6652/478, 4654/2809 is
GCF of Numerators i.e. for 6652,4654 is 2
LCM of denominators i.e. for 478,2809 is 1342702.
Thus, GCF of Fractions is 2/1342702.Finally, GCF of Fractions for 6652/478, 4654/2809 is 2/1342702.