GCF of 1173/462, 6915/2345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1173/462, 6915/2345 i.e 3/154770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1173/462, 6915/2345.
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 1173/462,6915/2345?
Given fractions are 1173/462,6915/2345
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 1173/462,6915/2345, numerators are 1173,6915
Denominators are 462,2345
The GCF of 1173,6915 is 3 .
LCM of 462,2345 is 154770.
The greatest common factor of 1173/462,6915/2345 = [GCF of 1173,6915]/[LCM of 462,2345]= 3/154770
Therefore, the GCF of 1173/462,6915/2345 is 3/154770.
To find the highest common factor of 1173,6915, we have to find the factors of both numbers and list the highest common factor.
The factors of 1173 are 1, 3, 17, 23, 51, 69, 391, 1173
The factors of 6915 are 1, 3, 5, 15, 461, 1383, 2305, 6915
The HCF of 1173,6915 is 3.
Lets's calculate GCF of 1173,6915
| 3 | 1173, 6915 |
| 391, 2305 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1173,6915 By Matching Biggest Common Factor Method
Now, list down the factors of 1173
:1,3,17,23,51,69,391,1173
Now, list down the factors of 6915
:1,3,5,15,461,1383,2305,6915
Greatest Common Factor
We found the factors 1173,6915 . The biggest common factor number is the GCF number.
So the greatest common factor 1173,6915 is 3.
Lets's calculate LCM of 462,2345
| 7 | 462, 2345 |
| 66, 335 |
∴ So the LCM of the given numbers is 7 x 66 x 335 = 154770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/154770
Therefore, the GCF of Fractions 1173/462,6915/2345 is 3/154770
Least Common Multiple of 462,2345 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 462,2345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,2345) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(462,2345) x common factors =7 x 1 = 7
LCM(462,2345) = ( 462 × 2345 ) / 7
LCM(462,2345) = 1083390 / 7
LCM(462,2345) = 154770
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FAQs on GCF of Fractions of 1173/462, 6915/2345
1. What is the HCF of 1173,6915?
The HCF of 1173,6915 is 3
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 1173/462, 6915/2345?
Answer: GCF of Numerators as per given numbers 1173/462, 6915/2345 is
GCF of Numerators i.e. for 1173,6915 is 3
LCM of denominators i.e. for 462,2345 is 154770.
Thus, GCF of Fractions is 3/154770.Finally, GCF of Fractions for 1173/462, 6915/2345 is 3/154770.