GCF of 6307/868, 3434/4358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6307/868, 3434/4358 i.e 17/1891372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6307/868, 3434/4358.
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 6307/868,3434/4358?
Given fractions are 6307/868,3434/4358
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 6307/868,3434/4358, numerators are 6307,3434
Denominators are 868,4358
The GCF of 6307,3434 is 17 .
LCM of 868,4358 is 1891372.
The greatest common factor of 6307/868,3434/4358 = [GCF of 6307,3434]/[LCM of 868,4358]= 17/1891372
Therefore, the GCF of 6307/868,3434/4358 is 17/1891372.
To find the highest common factor of 6307,3434, we have to find the factors of both numbers and list the highest common factor.
The factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307
The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434
The HCF of 6307,3434 is 17.
Lets's calculate GCF of 6307,3434
| 17 | 6307, 3434 |
| 371, 202 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6307,3434 By Matching Biggest Common Factor Method
Now, list down the factors of 6307
:1,7,17,53,119,371,901,6307
Now, list down the factors of 3434
:1,2,17,34,101,202,1717,3434
Greatest Common Factor
We found the factors 6307,3434 . The biggest common factor number is the GCF number.
So the greatest common factor 6307,3434 is 17.
Lets's calculate LCM of 868,4358
| 2 | 868, 4358 |
| 434, 2179 |
∴ So the LCM of the given numbers is 2 x 434 x 2179 = 1891372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1891372
Therefore, the GCF of Fractions 6307/868,3434/4358 is 17/1891372
Least Common Multiple of 868,4358 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 868,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,4358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(868,4358) x common factors =2 x 1 = 2
LCM(868,4358) = ( 868 × 4358 ) / 2
LCM(868,4358) = 3782744 / 2
LCM(868,4358) = 1891372
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FAQs on GCF of Fractions of 6307/868, 3434/4358
1. What is the HCF of 6307,3434?
The HCF of 6307,3434 is 17
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 6307/868, 3434/4358?
Answer: GCF of Numerators as per given numbers 6307/868, 3434/4358 is
GCF of Numerators i.e. for 6307,3434 is 17
LCM of denominators i.e. for 868,4358 is 1891372.
Thus, GCF of Fractions is 17/1891372.Finally, GCF of Fractions for 6307/868, 3434/4358 is 17/1891372.