GCF of 7064/614, 4179/341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7064/614, 4179/341 i.e 1/209374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7064/614, 4179/341.
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 7064/614,4179/341?
Given fractions are 7064/614,4179/341
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 7064/614,4179/341, numerators are 7064,4179
Denominators are 614,341
The GCF of 7064,4179 is 1 .
LCM of 614,341 is 209374.
The greatest common factor of 7064/614,4179/341 = [GCF of 7064,4179]/[LCM of 614,341]= 1/209374
Therefore, the GCF of 7064/614,4179/341 is 1/209374.
To find the highest common factor of 7064,4179, we have to find the factors of both numbers and list the highest common factor.
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179
The HCF of 7064,4179 is 1.
Lets's calculate GCF of 7064,4179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7064,4179 By Matching Biggest Common Factor Method
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Now, list down the factors of 4179
:1,3,7,21,199,597,1393,4179
Greatest Common Factor
We found the factors 7064,4179 . The biggest common factor number is the GCF number.
So the greatest common factor 7064,4179 is 1.
Lets's calculate LCM of 614,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 209374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209374
Therefore, the GCF of Fractions 7064/614,4179/341 is 1/209374
Least Common Multiple of 614,341 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 614,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,341) x common factors =1 x 1 = 1
LCM(614,341) = ( 614 × 341 ) / 1
LCM(614,341) = 209374 / 1
LCM(614,341) = 209374
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FAQs on GCF of Fractions of 7064/614, 4179/341
1. What is the HCF of 7064,4179?
The HCF of 7064,4179 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 7064/614, 4179/341?
Answer: GCF of Numerators as per given numbers 7064/614, 4179/341 is
GCF of Numerators i.e. for 7064,4179 is 1
LCM of denominators i.e. for 614,341 is 209374.
Thus, GCF of Fractions is 1/209374.Finally, GCF of Fractions for 7064/614, 4179/341 is 1/209374.