GCF of 1019/862, 6742/2179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1019/862, 6742/2179 i.e 1/1878298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1019/862, 6742/2179.
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 1019/862,6742/2179?
Given fractions are 1019/862,6742/2179
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 1019/862,6742/2179, numerators are 1019,6742
Denominators are 862,2179
The GCF of 1019,6742 is 1 .
LCM of 862,2179 is 1878298.
The greatest common factor of 1019/862,6742/2179 = [GCF of 1019,6742]/[LCM of 862,2179]= 1/1878298
Therefore, the GCF of 1019/862,6742/2179 is 1/1878298.
To find the highest common factor of 1019,6742, we have to find the factors of both numbers and list the highest common factor.
The factors of 1019 are 1, 1019
The factors of 6742 are 1, 2, 3371, 6742
The HCF of 1019,6742 is 1.
Lets's calculate GCF of 1019,6742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1019,6742 By Matching Biggest Common Factor Method
Now, list down the factors of 1019
:1,1019
Now, list down the factors of 6742
:1,2,3371,6742
Greatest Common Factor
We found the factors 1019,6742 . The biggest common factor number is the GCF number.
So the greatest common factor 1019,6742 is 1.
Lets's calculate LCM of 862,2179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1878298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1878298
Therefore, the GCF of Fractions 1019/862,6742/2179 is 1/1878298
Least Common Multiple of 862,2179 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 862,2179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,2179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,2179) x common factors =1 x 1 = 1
LCM(862,2179) = ( 862 × 2179 ) / 1
LCM(862,2179) = 1878298 / 1
LCM(862,2179) = 1878298
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FAQs on GCF of Fractions of 1019/862, 6742/2179
1. What is the HCF of 1019,6742?
The HCF of 1019,6742 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 1019/862, 6742/2179?
Answer: GCF of Numerators as per given numbers 1019/862, 6742/2179 is
GCF of Numerators i.e. for 1019,6742 is 1
LCM of denominators i.e. for 862,2179 is 1878298.
Thus, GCF of Fractions is 1/1878298.Finally, GCF of Fractions for 1019/862, 6742/2179 is 1/1878298.