GCF of 2873/630, 4816/3132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2873/630, 4816/3132 i.e 1/109620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2873/630, 4816/3132.
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 2873/630,4816/3132?
Given fractions are 2873/630,4816/3132
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 2873/630,4816/3132, numerators are 2873,4816
Denominators are 630,3132
The GCF of 2873,4816 is 1 .
LCM of 630,3132 is 109620.
The greatest common factor of 2873/630,4816/3132 = [GCF of 2873,4816]/[LCM of 630,3132]= 1/109620
Therefore, the GCF of 2873/630,4816/3132 is 1/109620.
To find the highest common factor of 2873,4816, we have to find the factors of both numbers and list the highest common factor.
The factors of 2873 are 1, 13, 17, 169, 221, 2873
The factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816
The HCF of 2873,4816 is 1.
Lets's calculate GCF of 2873,4816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2873,4816 By Matching Biggest Common Factor Method
Now, list down the factors of 2873
:1,13,17,169,221,2873
Now, list down the factors of 4816
:1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816
Greatest Common Factor
We found the factors 2873,4816 . The biggest common factor number is the GCF number.
So the greatest common factor 2873,4816 is 1.
Lets's calculate LCM of 630,3132
| 2 | 630, 3132 |
| 3 | 315, 1566 |
| 3 | 105, 522 |
| 35, 174 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 174 = 109620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109620
Therefore, the GCF of Fractions 2873/630,4816/3132 is 1/109620
Least Common Multiple of 630,3132 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 630,3132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,3132) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(630,3132) x common factors =18 x 1 = 18
LCM(630,3132) = ( 630 × 3132 ) / 18
LCM(630,3132) = 1973160 / 18
LCM(630,3132) = 109620
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FAQs on GCF of Fractions of 2873/630, 4816/3132
1. What is the HCF of 2873,4816?
The HCF of 2873,4816 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 2873/630, 4816/3132?
Answer: GCF of Numerators as per given numbers 2873/630, 4816/3132 is
GCF of Numerators i.e. for 2873,4816 is 1
LCM of denominators i.e. for 630,3132 is 109620.
Thus, GCF of Fractions is 1/109620.Finally, GCF of Fractions for 2873/630, 4816/3132 is 1/109620.