GCF of 4802/634, 2286/4910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4802/634, 2286/4910 i.e 2/1556470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4802/634, 2286/4910.
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 4802/634,2286/4910?
Given fractions are 4802/634,2286/4910
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 4802/634,2286/4910, numerators are 4802,2286
Denominators are 634,4910
The GCF of 4802,2286 is 2 .
LCM of 634,4910 is 1556470.
The greatest common factor of 4802/634,2286/4910 = [GCF of 4802,2286]/[LCM of 634,4910]= 2/1556470
Therefore, the GCF of 4802/634,2286/4910 is 2/1556470.
To find the highest common factor of 4802,2286, we have to find the factors of both numbers and list the highest common factor.
The factors of 4802 are 1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802
The factors of 2286 are 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
The HCF of 4802,2286 is 2.
Lets's calculate GCF of 4802,2286
| 2 | 4802, 2286 |
| 2401, 1143 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4802,2286 By Matching Biggest Common Factor Method
Now, list down the factors of 4802
:1,2,7,14,49,98,343,686,2401,4802
Now, list down the factors of 2286
:1,2,3,6,9,18,127,254,381,762,1143,2286
Greatest Common Factor
We found the factors 4802,2286 . The biggest common factor number is the GCF number.
So the greatest common factor 4802,2286 is 2.
Lets's calculate LCM of 634,4910
| 2 | 634, 4910 |
| 317, 2455 |
∴ So the LCM of the given numbers is 2 x 317 x 2455 = 1556470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1556470
Therefore, the GCF of Fractions 4802/634,2286/4910 is 2/1556470
Least Common Multiple of 634,4910 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 634,4910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,4910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,4910) x common factors =2 x 1 = 2
LCM(634,4910) = ( 634 × 4910 ) / 2
LCM(634,4910) = 3112940 / 2
LCM(634,4910) = 1556470
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FAQs on GCF of Fractions of 4802/634, 2286/4910
1. What is the HCF of 4802,2286?
The HCF of 4802,2286 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 4802/634, 2286/4910?
Answer: GCF of Numerators as per given numbers 4802/634, 2286/4910 is
GCF of Numerators i.e. for 4802,2286 is 2
LCM of denominators i.e. for 634,4910 is 1556470.
Thus, GCF of Fractions is 2/1556470.Finally, GCF of Fractions for 4802/634, 2286/4910 is 2/1556470.