GCF of 4786/634, 7052/2496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4786/634, 7052/2496 i.e 2/791232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4786/634, 7052/2496.
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 4786/634,7052/2496?
Given fractions are 4786/634,7052/2496
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 4786/634,7052/2496, numerators are 4786,7052
Denominators are 634,2496
The GCF of 4786,7052 is 2 .
LCM of 634,2496 is 791232.
The greatest common factor of 4786/634,7052/2496 = [GCF of 4786,7052]/[LCM of 634,2496]= 2/791232
Therefore, the GCF of 4786/634,7052/2496 is 2/791232.
To find the highest common factor of 4786,7052, we have to find the factors of both numbers and list the highest common factor.
The factors of 4786 are 1, 2, 2393, 4786
The factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052
The HCF of 4786,7052 is 2.
Lets's calculate GCF of 4786,7052
| 2 | 4786, 7052 |
| 2393, 3526 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4786,7052 By Matching Biggest Common Factor Method
Now, list down the factors of 4786
:1,2,2393,4786
Now, list down the factors of 7052
:1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 4786,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 4786,7052 is 2.
Lets's calculate LCM of 634,2496
| 2 | 634, 2496 |
| 317, 1248 |
∴ So the LCM of the given numbers is 2 x 317 x 1248 = 791232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/791232
Therefore, the GCF of Fractions 4786/634,7052/2496 is 2/791232
Least Common Multiple of 634,2496 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 634,2496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,2496) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,2496) x common factors =2 x 1 = 2
LCM(634,2496) = ( 634 × 2496 ) / 2
LCM(634,2496) = 1582464 / 2
LCM(634,2496) = 791232
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FAQs on GCF of Fractions of 4786/634, 7052/2496
1. What is the HCF of 4786,7052?
The HCF of 4786,7052 is 2
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 4786/634, 7052/2496?
Answer: GCF of Numerators as per given numbers 4786/634, 7052/2496 is
GCF of Numerators i.e. for 4786,7052 is 2
LCM of denominators i.e. for 634,2496 is 791232.
Thus, GCF of Fractions is 2/791232.Finally, GCF of Fractions for 4786/634, 7052/2496 is 2/791232.