GCF of 1004/338, 2607/4641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1004/338, 2607/4641 i.e 1/120666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1004/338, 2607/4641.
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 1004/338,2607/4641?
Given fractions are 1004/338,2607/4641
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 1004/338,2607/4641, numerators are 1004,2607
Denominators are 338,4641
The GCF of 1004,2607 is 1 .
LCM of 338,4641 is 120666.
The greatest common factor of 1004/338,2607/4641 = [GCF of 1004,2607]/[LCM of 338,4641]= 1/120666
Therefore, the GCF of 1004/338,2607/4641 is 1/120666.
To find the highest common factor of 1004,2607, we have to find the factors of both numbers and list the highest common factor.
The factors of 1004 are 1, 2, 4, 251, 502, 1004
The factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607
The HCF of 1004,2607 is 1.
Lets's calculate GCF of 1004,2607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1004,2607 By Matching Biggest Common Factor Method
Now, list down the factors of 1004
:1,2,4,251,502,1004
Now, list down the factors of 2607
:1,3,11,33,79,237,869,2607
Greatest Common Factor
We found the factors 1004,2607 . The biggest common factor number is the GCF number.
So the greatest common factor 1004,2607 is 1.
Lets's calculate LCM of 338,4641
| 13 | 338, 4641 |
| 26, 357 |
∴ So the LCM of the given numbers is 13 x 26 x 357 = 120666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120666
Therefore, the GCF of Fractions 1004/338,2607/4641 is 1/120666
Least Common Multiple of 338,4641 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 338,4641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,4641) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(338,4641) x common factors =13 x 1 = 13
LCM(338,4641) = ( 338 × 4641 ) / 13
LCM(338,4641) = 1568658 / 13
LCM(338,4641) = 120666
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FAQs on GCF of Fractions of 1004/338, 2607/4641
1. What is the HCF of 1004,2607?
The HCF of 1004,2607 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 1004/338, 2607/4641?
Answer: GCF of Numerators as per given numbers 1004/338, 2607/4641 is
GCF of Numerators i.e. for 1004,2607 is 1
LCM of denominators i.e. for 338,4641 is 120666.
Thus, GCF of Fractions is 1/120666.Finally, GCF of Fractions for 1004/338, 2607/4641 is 1/120666.