GCF of 6235/460, 6694/988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6235/460, 6694/988 i.e 1/113620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6235/460, 6694/988.
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 6235/460,6694/988?
Given fractions are 6235/460,6694/988
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 6235/460,6694/988, numerators are 6235,6694
Denominators are 460,988
The GCF of 6235,6694 is 1 .
LCM of 460,988 is 113620.
The greatest common factor of 6235/460,6694/988 = [GCF of 6235,6694]/[LCM of 460,988]= 1/113620
Therefore, the GCF of 6235/460,6694/988 is 1/113620.
To find the highest common factor of 6235,6694, we have to find the factors of both numbers and list the highest common factor.
The factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235
The factors of 6694 are 1, 2, 3347, 6694
The HCF of 6235,6694 is 1.
Lets's calculate GCF of 6235,6694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6235,6694 By Matching Biggest Common Factor Method
Now, list down the factors of 6235
:1,5,29,43,145,215,1247,6235
Now, list down the factors of 6694
:1,2,3347,6694
Greatest Common Factor
We found the factors 6235,6694 . The biggest common factor number is the GCF number.
So the greatest common factor 6235,6694 is 1.
Lets's calculate LCM of 460,988
| 2 | 460, 988 |
| 2 | 230, 494 |
| 115, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 115 x 247 = 113620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113620
Therefore, the GCF of Fractions 6235/460,6694/988 is 1/113620
Least Common Multiple of 460,988 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 460,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,988) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(460,988) x common factors =4 x 1 = 4
LCM(460,988) = ( 460 × 988 ) / 4
LCM(460,988) = 454480 / 4
LCM(460,988) = 113620
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FAQs on GCF of Fractions of 6235/460, 6694/988
1. What is the HCF of 6235,6694?
The HCF of 6235,6694 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 6235/460, 6694/988?
Answer: GCF of Numerators as per given numbers 6235/460, 6694/988 is
GCF of Numerators i.e. for 6235,6694 is 1
LCM of denominators i.e. for 460,988 is 113620.
Thus, GCF of Fractions is 1/113620.Finally, GCF of Fractions for 6235/460, 6694/988 is 1/113620.