GCF of 4657/807, 9879/1410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4657/807, 9879/1410 i.e 1/379290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4657/807, 9879/1410.
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 4657/807,9879/1410?
Given fractions are 4657/807,9879/1410
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 4657/807,9879/1410, numerators are 4657,9879
Denominators are 807,1410
The GCF of 4657,9879 is 1 .
LCM of 807,1410 is 379290.
The greatest common factor of 4657/807,9879/1410 = [GCF of 4657,9879]/[LCM of 807,1410]= 1/379290
Therefore, the GCF of 4657/807,9879/1410 is 1/379290.
To find the highest common factor of 4657,9879, we have to find the factors of both numbers and list the highest common factor.
The factors of 4657 are 1, 4657
The factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879
The HCF of 4657,9879 is 1.
Lets's calculate GCF of 4657,9879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4657,9879 By Matching Biggest Common Factor Method
Now, list down the factors of 4657
:1,4657
Now, list down the factors of 9879
:1,3,37,89,111,267,3293,9879
Greatest Common Factor
We found the factors 4657,9879 . The biggest common factor number is the GCF number.
So the greatest common factor 4657,9879 is 1.
Lets's calculate LCM of 807,1410
| 3 | 807, 1410 |
| 269, 470 |
∴ So the LCM of the given numbers is 3 x 269 x 470 = 379290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379290
Therefore, the GCF of Fractions 4657/807,9879/1410 is 1/379290
Least Common Multiple of 807,1410 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 807,1410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,1410) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,1410) x common factors =3 x 1 = 3
LCM(807,1410) = ( 807 × 1410 ) / 3
LCM(807,1410) = 1137870 / 3
LCM(807,1410) = 379290
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FAQs on GCF of Fractions of 4657/807, 9879/1410
1. What is the HCF of 4657,9879?
The HCF of 4657,9879 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 4657/807, 9879/1410?
Answer: GCF of Numerators as per given numbers 4657/807, 9879/1410 is
GCF of Numerators i.e. for 4657,9879 is 1
LCM of denominators i.e. for 807,1410 is 379290.
Thus, GCF of Fractions is 1/379290.Finally, GCF of Fractions for 4657/807, 9879/1410 is 1/379290.