GCF of 1910/732, 9178/4118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1910/732, 9178/4118 i.e 2/1507188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1910/732, 9178/4118.
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 1910/732,9178/4118?
Given fractions are 1910/732,9178/4118
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 1910/732,9178/4118, numerators are 1910,9178
Denominators are 732,4118
The GCF of 1910,9178 is 2 .
LCM of 732,4118 is 1507188.
The greatest common factor of 1910/732,9178/4118 = [GCF of 1910,9178]/[LCM of 732,4118]= 2/1507188
Therefore, the GCF of 1910/732,9178/4118 is 2/1507188.
To find the highest common factor of 1910,9178, we have to find the factors of both numbers and list the highest common factor.
The factors of 1910 are 1, 2, 5, 10, 191, 382, 955, 1910
The factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178
The HCF of 1910,9178 is 2.
Lets's calculate GCF of 1910,9178
| 2 | 1910, 9178 |
| 955, 4589 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1910,9178 By Matching Biggest Common Factor Method
Now, list down the factors of 1910
:1,2,5,10,191,382,955,1910
Now, list down the factors of 9178
:1,2,13,26,353,706,4589,9178
Greatest Common Factor
We found the factors 1910,9178 . The biggest common factor number is the GCF number.
So the greatest common factor 1910,9178 is 2.
Lets's calculate LCM of 732,4118
| 2 | 732, 4118 |
| 366, 2059 |
∴ So the LCM of the given numbers is 2 x 366 x 2059 = 1507188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1507188
Therefore, the GCF of Fractions 1910/732,9178/4118 is 2/1507188
Least Common Multiple of 732,4118 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 732,4118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,4118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,4118) x common factors =2 x 1 = 2
LCM(732,4118) = ( 732 × 4118 ) / 2
LCM(732,4118) = 3014376 / 2
LCM(732,4118) = 1507188
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FAQs on GCF of Fractions of 1910/732, 9178/4118
1. What is the HCF of 1910,9178?
The HCF of 1910,9178 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 1910/732, 9178/4118?
Answer: GCF of Numerators as per given numbers 1910/732, 9178/4118 is
GCF of Numerators i.e. for 1910,9178 is 2
LCM of denominators i.e. for 732,4118 is 1507188.
Thus, GCF of Fractions is 2/1507188.Finally, GCF of Fractions for 1910/732, 9178/4118 is 2/1507188.