GCF of 6123/785, 4970/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6123/785, 4970/238 i.e 1/186830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6123/785, 4970/238.
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 6123/785,4970/238?
Given fractions are 6123/785,4970/238
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 6123/785,4970/238, numerators are 6123,4970
Denominators are 785,238
The GCF of 6123,4970 is 1 .
LCM of 785,238 is 186830.
The greatest common factor of 6123/785,4970/238 = [GCF of 6123,4970]/[LCM of 785,238]= 1/186830
Therefore, the GCF of 6123/785,4970/238 is 1/186830.
To find the highest common factor of 6123,4970, we have to find the factors of both numbers and list the highest common factor.
The factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123
The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The HCF of 6123,4970 is 1.
Lets's calculate GCF of 6123,4970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6123,4970 By Matching Biggest Common Factor Method
Now, list down the factors of 6123
:1,3,13,39,157,471,2041,6123
Now, list down the factors of 4970
:1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970
Greatest Common Factor
We found the factors 6123,4970 . The biggest common factor number is the GCF number.
So the greatest common factor 6123,4970 is 1.
Lets's calculate LCM of 785,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 186830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186830
Therefore, the GCF of Fractions 6123/785,4970/238 is 1/186830
Least Common Multiple of 785,238 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 785,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,238) x common factors =1 x 1 = 1
LCM(785,238) = ( 785 × 238 ) / 1
LCM(785,238) = 186830 / 1
LCM(785,238) = 186830
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FAQs on GCF of Fractions of 6123/785, 4970/238
1. What is the HCF of 6123,4970?
The HCF of 6123,4970 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 6123/785, 4970/238?
Answer: GCF of Numerators as per given numbers 6123/785, 4970/238 is
GCF of Numerators i.e. for 6123,4970 is 1
LCM of denominators i.e. for 785,238 is 186830.
Thus, GCF of Fractions is 1/186830.Finally, GCF of Fractions for 6123/785, 4970/238 is 1/186830.