GCF of 2250/429, 6173/4620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2250/429, 6173/4620 i.e 1/60060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2250/429, 6173/4620.
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 2250/429,6173/4620?
Given fractions are 2250/429,6173/4620
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 2250/429,6173/4620, numerators are 2250,6173
Denominators are 429,4620
The GCF of 2250,6173 is 1 .
LCM of 429,4620 is 60060.
The greatest common factor of 2250/429,6173/4620 = [GCF of 2250,6173]/[LCM of 429,4620]= 1/60060
Therefore, the GCF of 2250/429,6173/4620 is 1/60060.
To find the highest common factor of 2250,6173, we have to find the factors of both numbers and list the highest common factor.
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250
The factors of 6173 are 1, 6173
The HCF of 2250,6173 is 1.
Lets's calculate GCF of 2250,6173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2250,6173 By Matching Biggest Common Factor Method
Now, list down the factors of 2250
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Now, list down the factors of 6173
:1,6173
Greatest Common Factor
We found the factors 2250,6173 . The biggest common factor number is the GCF number.
So the greatest common factor 2250,6173 is 1.
Lets's calculate LCM of 429,4620
| 3 | 429, 4620 |
| 11 | 143, 1540 |
| 13, 140 |
∴ So the LCM of the given numbers is 3 x 11 x 13 x 140 = 60060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60060
Therefore, the GCF of Fractions 2250/429,6173/4620 is 1/60060
Least Common Multiple of 429,4620 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 429,4620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,4620) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(429,4620) x common factors =33 x 1 = 33
LCM(429,4620) = ( 429 × 4620 ) / 33
LCM(429,4620) = 1981980 / 33
LCM(429,4620) = 60060
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FAQs on GCF of Fractions of 2250/429, 6173/4620
1. What is the HCF of 2250,6173?
The HCF of 2250,6173 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 2250/429, 6173/4620?
Answer: GCF of Numerators as per given numbers 2250/429, 6173/4620 is
GCF of Numerators i.e. for 2250,6173 is 1
LCM of denominators i.e. for 429,4620 is 60060.
Thus, GCF of Fractions is 1/60060.Finally, GCF of Fractions for 2250/429, 6173/4620 is 1/60060.