GCF of 4313/650, 1708/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4313/650, 1708/678 i.e 1/220350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4313/650, 1708/678.
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 4313/650,1708/678?
Given fractions are 4313/650,1708/678
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 4313/650,1708/678, numerators are 4313,1708
Denominators are 650,678
The GCF of 4313,1708 is 1 .
LCM of 650,678 is 220350.
The greatest common factor of 4313/650,1708/678 = [GCF of 4313,1708]/[LCM of 650,678]= 1/220350
Therefore, the GCF of 4313/650,1708/678 is 1/220350.
To find the highest common factor of 4313,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 4313 are 1, 19, 227, 4313
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 4313,1708 is 1.
Lets's calculate GCF of 4313,1708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4313,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 4313
:1,19,227,4313
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 4313,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 4313,1708 is 1.
Lets's calculate LCM of 650,678
| 2 | 650, 678 |
| 325, 339 |
∴ So the LCM of the given numbers is 2 x 325 x 339 = 220350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220350
Therefore, the GCF of Fractions 4313/650,1708/678 is 1/220350
Least Common Multiple of 650,678 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 650,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,678) x common factors =2 x 1 = 2
LCM(650,678) = ( 650 × 678 ) / 2
LCM(650,678) = 440700 / 2
LCM(650,678) = 220350
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FAQs on GCF of Fractions of 4313/650, 1708/678
1. What is the HCF of 4313,1708?
The HCF of 4313,1708 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 4313/650, 1708/678?
Answer: GCF of Numerators as per given numbers 4313/650, 1708/678 is
GCF of Numerators i.e. for 4313,1708 is 1
LCM of denominators i.e. for 650,678 is 220350.
Thus, GCF of Fractions is 1/220350.Finally, GCF of Fractions for 4313/650, 1708/678 is 1/220350.