GCF of 2352/513, 7752/1410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2352/513, 7752/1410 i.e 24/241110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2352/513, 7752/1410.
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 2352/513,7752/1410?
Given fractions are 2352/513,7752/1410
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 2352/513,7752/1410, numerators are 2352,7752
Denominators are 513,1410
The GCF of 2352,7752 is 24 .
LCM of 513,1410 is 241110.
The greatest common factor of 2352/513,7752/1410 = [GCF of 2352,7752]/[LCM of 513,1410]= 24/241110
Therefore, the GCF of 2352/513,7752/1410 is 24/241110.
To find the highest common factor of 2352,7752, we have to find the factors of both numbers and list the highest common factor.
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352
The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
The HCF of 2352,7752 is 24.
Lets's calculate GCF of 2352,7752
| 2 | 2352, 7752 |
| 2 | 1176, 3876 |
| 2 | 588, 1938 |
| 3 | 294, 969 |
| 98, 323 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 2352,7752 By Matching Biggest Common Factor Method
Now, list down the factors of 2352
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352
Now, list down the factors of 7752
:1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752
Greatest Common Factor
We found the factors 2352,7752 . The biggest common factor number is the GCF number.
So the greatest common factor 2352,7752 is 24.
Lets's calculate LCM of 513,1410
| 3 | 513, 1410 |
| 171, 470 |
∴ So the LCM of the given numbers is 3 x 171 x 470 = 241110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/241110
Therefore, the GCF of Fractions 2352/513,7752/1410 is 24/241110
Least Common Multiple of 513,1410 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 513,1410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,1410) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,1410) x common factors =3 x 1 = 3
LCM(513,1410) = ( 513 × 1410 ) / 3
LCM(513,1410) = 723330 / 3
LCM(513,1410) = 241110
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2352/513, 7752/1410
1. What is the HCF of 2352,7752?
The HCF of 2352,7752 is 24
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 2352/513, 7752/1410?
Answer: GCF of Numerators as per given numbers 2352/513, 7752/1410 is
GCF of Numerators i.e. for 2352,7752 is 24
LCM of denominators i.e. for 513,1410 is 241110.
Thus, GCF of Fractions is 24/241110.Finally, GCF of Fractions for 2352/513, 7752/1410 is 24/241110.