GCF of 4497/976, 5246/5646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4497/976, 5246/5646 i.e 1/2755248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4497/976, 5246/5646.
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 4497/976,5246/5646?
Given fractions are 4497/976,5246/5646
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 4497/976,5246/5646, numerators are 4497,5246
Denominators are 976,5646
The GCF of 4497,5246 is 1 .
LCM of 976,5646 is 2755248.
The greatest common factor of 4497/976,5246/5646 = [GCF of 4497,5246]/[LCM of 976,5646]= 1/2755248
Therefore, the GCF of 4497/976,5246/5646 is 1/2755248.
To find the highest common factor of 4497,5246, we have to find the factors of both numbers and list the highest common factor.
The factors of 4497 are 1, 3, 1499, 4497
The factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246
The HCF of 4497,5246 is 1.
Lets's calculate GCF of 4497,5246
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4497,5246 By Matching Biggest Common Factor Method
Now, list down the factors of 4497
:1,3,1499,4497
Now, list down the factors of 5246
:1,2,43,61,86,122,2623,5246
Greatest Common Factor
We found the factors 4497,5246 . The biggest common factor number is the GCF number.
So the greatest common factor 4497,5246 is 1.
Lets's calculate LCM of 976,5646
| 2 | 976, 5646 |
| 488, 2823 |
∴ So the LCM of the given numbers is 2 x 488 x 2823 = 2755248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2755248
Therefore, the GCF of Fractions 4497/976,5246/5646 is 1/2755248
Least Common Multiple of 976,5646 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 976,5646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,5646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,5646) x common factors =2 x 1 = 2
LCM(976,5646) = ( 976 × 5646 ) / 2
LCM(976,5646) = 5510496 / 2
LCM(976,5646) = 2755248
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4497/976, 5246/5646
1. What is the HCF of 4497,5246?
The HCF of 4497,5246 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 4497/976, 5246/5646?
Answer: GCF of Numerators as per given numbers 4497/976, 5246/5646 is
GCF of Numerators i.e. for 4497,5246 is 1
LCM of denominators i.e. for 976,5646 is 2755248.
Thus, GCF of Fractions is 1/2755248.Finally, GCF of Fractions for 4497/976, 5246/5646 is 1/2755248.