GCF of 4970/515, 6883/3811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4970/515, 6883/3811 i.e 1/19055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4970/515, 6883/3811.
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 4970/515,6883/3811?
Given fractions are 4970/515,6883/3811
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 4970/515,6883/3811, numerators are 4970,6883
Denominators are 515,3811
The GCF of 4970,6883 is 1 .
LCM of 515,3811 is 19055.
The greatest common factor of 4970/515,6883/3811 = [GCF of 4970,6883]/[LCM of 515,3811]= 1/19055
Therefore, the GCF of 4970/515,6883/3811 is 1/19055.
To find the highest common factor of 4970,6883, we have to find the factors of both numbers and list the highest common factor.
The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The factors of 6883 are 1, 6883
The HCF of 4970,6883 is 1.
Lets's calculate GCF of 4970,6883
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4970,6883 By Matching Biggest Common Factor Method
Now, list down the factors of 4970
:1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970
Now, list down the factors of 6883
:1,6883
Greatest Common Factor
We found the factors 4970,6883 . The biggest common factor number is the GCF number.
So the greatest common factor 4970,6883 is 1.
Lets's calculate LCM of 515,3811
| 103 | 515, 3811 |
| 5, 37 |
∴ So the LCM of the given numbers is 103 x 5 x 37 = 19055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19055
Therefore, the GCF of Fractions 4970/515,6883/3811 is 1/19055
Least Common Multiple of 515,3811 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 515,3811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,3811) = 103
common factors(in case of two or more numbers have common factors) = 1
GCF(515,3811) x common factors =103 x 1 = 103
LCM(515,3811) = ( 515 × 3811 ) / 103
LCM(515,3811) = 1962665 / 103
LCM(515,3811) = 19055
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FAQs on GCF of Fractions of 4970/515, 6883/3811
1. What is the HCF of 4970,6883?
The HCF of 4970,6883 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 4970/515, 6883/3811?
Answer: GCF of Numerators as per given numbers 4970/515, 6883/3811 is
GCF of Numerators i.e. for 4970,6883 is 1
LCM of denominators i.e. for 515,3811 is 19055.
Thus, GCF of Fractions is 1/19055.Finally, GCF of Fractions for 4970/515, 6883/3811 is 1/19055.