GCF of 1778/182, 9638/4738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1778/182, 9638/4738 i.e 2/431158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1778/182, 9638/4738.
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 1778/182,9638/4738?
Given fractions are 1778/182,9638/4738
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 1778/182,9638/4738, numerators are 1778,9638
Denominators are 182,4738
The GCF of 1778,9638 is 2 .
LCM of 182,4738 is 431158.
The greatest common factor of 1778/182,9638/4738 = [GCF of 1778,9638]/[LCM of 182,4738]= 2/431158
Therefore, the GCF of 1778/182,9638/4738 is 2/431158.
To find the highest common factor of 1778,9638, we have to find the factors of both numbers and list the highest common factor.
The factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778
The factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638
The HCF of 1778,9638 is 2.
Lets's calculate GCF of 1778,9638
| 2 | 1778, 9638 |
| 889, 4819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1778,9638 By Matching Biggest Common Factor Method
Now, list down the factors of 1778
:1,2,7,14,127,254,889,1778
Now, list down the factors of 9638
:1,2,61,79,122,158,4819,9638
Greatest Common Factor
We found the factors 1778,9638 . The biggest common factor number is the GCF number.
So the greatest common factor 1778,9638 is 2.
Lets's calculate LCM of 182,4738
| 2 | 182, 4738 |
| 91, 2369 |
∴ So the LCM of the given numbers is 2 x 91 x 2369 = 431158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/431158
Therefore, the GCF of Fractions 1778/182,9638/4738 is 2/431158
Least Common Multiple of 182,4738 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 182,4738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,4738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,4738) x common factors =2 x 1 = 2
LCM(182,4738) = ( 182 × 4738 ) / 2
LCM(182,4738) = 862316 / 2
LCM(182,4738) = 431158
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FAQs on GCF of Fractions of 1778/182, 9638/4738
1. What is the HCF of 1778,9638?
The HCF of 1778,9638 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 1778/182, 9638/4738?
Answer: GCF of Numerators as per given numbers 1778/182, 9638/4738 is
GCF of Numerators i.e. for 1778,9638 is 2
LCM of denominators i.e. for 182,4738 is 431158.
Thus, GCF of Fractions is 2/431158.Finally, GCF of Fractions for 1778/182, 9638/4738 is 2/431158.