GCF of 4347/254, 6953/4428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4347/254, 6953/4428 i.e 1/562356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4347/254, 6953/4428.
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 4347/254,6953/4428?
Given fractions are 4347/254,6953/4428
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 4347/254,6953/4428, numerators are 4347,6953
Denominators are 254,4428
The GCF of 4347,6953 is 1 .
LCM of 254,4428 is 562356.
The greatest common factor of 4347/254,6953/4428 = [GCF of 4347,6953]/[LCM of 254,4428]= 1/562356
Therefore, the GCF of 4347/254,6953/4428 is 1/562356.
To find the highest common factor of 4347,6953, we have to find the factors of both numbers and list the highest common factor.
The factors of 4347 are 1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449, 4347
The factors of 6953 are 1, 17, 409, 6953
The HCF of 4347,6953 is 1.
Lets's calculate GCF of 4347,6953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4347,6953 By Matching Biggest Common Factor Method
Now, list down the factors of 4347
:1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347
Now, list down the factors of 6953
:1,17,409,6953
Greatest Common Factor
We found the factors 4347,6953 . The biggest common factor number is the GCF number.
So the greatest common factor 4347,6953 is 1.
Lets's calculate LCM of 254,4428
| 2 | 254, 4428 |
| 127, 2214 |
∴ So the LCM of the given numbers is 2 x 127 x 2214 = 562356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562356
Therefore, the GCF of Fractions 4347/254,6953/4428 is 1/562356
Least Common Multiple of 254,4428 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 254,4428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,4428) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,4428) x common factors =2 x 1 = 2
LCM(254,4428) = ( 254 × 4428 ) / 2
LCM(254,4428) = 1124712 / 2
LCM(254,4428) = 562356
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FAQs on GCF of Fractions of 4347/254, 6953/4428
1. What is the HCF of 4347,6953?
The HCF of 4347,6953 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 4347/254, 6953/4428?
Answer: GCF of Numerators as per given numbers 4347/254, 6953/4428 is
GCF of Numerators i.e. for 4347,6953 is 1
LCM of denominators i.e. for 254,4428 is 562356.
Thus, GCF of Fractions is 1/562356.Finally, GCF of Fractions for 4347/254, 6953/4428 is 1/562356.