GCF of 4847/645, 2690/3063
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4847/645, 2690/3063 i.e 1/658545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4847/645, 2690/3063.
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 4847/645,2690/3063?
Given fractions are 4847/645,2690/3063
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 4847/645,2690/3063, numerators are 4847,2690
Denominators are 645,3063
The GCF of 4847,2690 is 1 .
LCM of 645,3063 is 658545.
The greatest common factor of 4847/645,2690/3063 = [GCF of 4847,2690]/[LCM of 645,3063]= 1/658545
Therefore, the GCF of 4847/645,2690/3063 is 1/658545.
To find the highest common factor of 4847,2690, we have to find the factors of both numbers and list the highest common factor.
The factors of 4847 are 1, 37, 131, 4847
The factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690
The HCF of 4847,2690 is 1.
Lets's calculate GCF of 4847,2690
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4847,2690 By Matching Biggest Common Factor Method
Now, list down the factors of 4847
:1,37,131,4847
Now, list down the factors of 2690
:1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors 4847,2690 . The biggest common factor number is the GCF number.
So the greatest common factor 4847,2690 is 1.
Lets's calculate LCM of 645,3063
| 3 | 645, 3063 |
| 215, 1021 |
∴ So the LCM of the given numbers is 3 x 215 x 1021 = 658545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658545
Therefore, the GCF of Fractions 4847/645,2690/3063 is 1/658545
Least Common Multiple of 645,3063 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 645,3063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,3063) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,3063) x common factors =3 x 1 = 3
LCM(645,3063) = ( 645 × 3063 ) / 3
LCM(645,3063) = 1975635 / 3
LCM(645,3063) = 658545
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FAQs on GCF of Fractions of 4847/645, 2690/3063
1. What is the HCF of 4847,2690?
The HCF of 4847,2690 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 4847/645, 2690/3063?
Answer: GCF of Numerators as per given numbers 4847/645, 2690/3063 is
GCF of Numerators i.e. for 4847,2690 is 1
LCM of denominators i.e. for 645,3063 is 658545.
Thus, GCF of Fractions is 1/658545.Finally, GCF of Fractions for 4847/645, 2690/3063 is 1/658545.