GCF of 4369/761, 6142/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4369/761, 6142/874 i.e 1/665114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4369/761, 6142/874.
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 4369/761,6142/874?
Given fractions are 4369/761,6142/874
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 4369/761,6142/874, numerators are 4369,6142
Denominators are 761,874
The GCF of 4369,6142 is 1 .
LCM of 761,874 is 665114.
The greatest common factor of 4369/761,6142/874 = [GCF of 4369,6142]/[LCM of 761,874]= 1/665114
Therefore, the GCF of 4369/761,6142/874 is 1/665114.
To find the highest common factor of 4369,6142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4369 are 1, 17, 257, 4369
The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142
The HCF of 4369,6142 is 1.
Lets's calculate GCF of 4369,6142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4369,6142 By Matching Biggest Common Factor Method
Now, list down the factors of 4369
:1,17,257,4369
Now, list down the factors of 6142
:1,2,37,74,83,166,3071,6142
Greatest Common Factor
We found the factors 4369,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 4369,6142 is 1.
Lets's calculate LCM of 761,874
Given numbers has no common factors except 1. So, there LCM is their product i.e 665114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/665114
Therefore, the GCF of Fractions 4369/761,6142/874 is 1/665114
Least Common Multiple of 761,874 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 761,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,874) x common factors =1 x 1 = 1
LCM(761,874) = ( 761 × 874 ) / 1
LCM(761,874) = 665114 / 1
LCM(761,874) = 665114
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FAQs on GCF of Fractions of 4369/761, 6142/874
1. What is the HCF of 4369,6142?
The HCF of 4369,6142 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 4369/761, 6142/874?
Answer: GCF of Numerators as per given numbers 4369/761, 6142/874 is
GCF of Numerators i.e. for 4369,6142 is 1
LCM of denominators i.e. for 761,874 is 665114.
Thus, GCF of Fractions is 1/665114.Finally, GCF of Fractions for 4369/761, 6142/874 is 1/665114.