GCF of 2820/504, 5352/7725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2820/504, 5352/7725 i.e 12/1297800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2820/504, 5352/7725.
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 2820/504,5352/7725?
Given fractions are 2820/504,5352/7725
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 2820/504,5352/7725, numerators are 2820,5352
Denominators are 504,7725
The GCF of 2820,5352 is 12 .
LCM of 504,7725 is 1297800.
The greatest common factor of 2820/504,5352/7725 = [GCF of 2820,5352]/[LCM of 504,7725]= 12/1297800
Therefore, the GCF of 2820/504,5352/7725 is 12/1297800.
To find the highest common factor of 2820,5352, we have to find the factors of both numbers and list the highest common factor.
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The HCF of 2820,5352 is 12.
Lets's calculate GCF of 2820,5352
| 2 | 2820, 5352 |
| 2 | 1410, 2676 |
| 3 | 705, 1338 |
| 235, 446 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2820,5352 By Matching Biggest Common Factor Method
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Greatest Common Factor
We found the factors 2820,5352 . The biggest common factor number is the GCF number.
So the greatest common factor 2820,5352 is 12.
Lets's calculate LCM of 504,7725
| 3 | 504, 7725 |
| 168, 2575 |
∴ So the LCM of the given numbers is 3 x 168 x 2575 = 1297800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1297800
Therefore, the GCF of Fractions 2820/504,5352/7725 is 12/1297800
Least Common Multiple of 504,7725 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 504,7725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,7725) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(504,7725) x common factors =3 x 1 = 3
LCM(504,7725) = ( 504 × 7725 ) / 3
LCM(504,7725) = 3893400 / 3
LCM(504,7725) = 1297800
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FAQs on GCF of Fractions of 2820/504, 5352/7725
1. What is the HCF of 2820,5352?
The HCF of 2820,5352 is 12
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 2820/504, 5352/7725?
Answer: GCF of Numerators as per given numbers 2820/504, 5352/7725 is
GCF of Numerators i.e. for 2820,5352 is 12
LCM of denominators i.e. for 504,7725 is 1297800.
Thus, GCF of Fractions is 12/1297800.Finally, GCF of Fractions for 2820/504, 5352/7725 is 12/1297800.