GCF of 7620/766, 4446/4562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7620/766, 4446/4562 i.e 6/1747246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7620/766, 4446/4562.
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 7620/766,4446/4562?
Given fractions are 7620/766,4446/4562
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 7620/766,4446/4562, numerators are 7620,4446
Denominators are 766,4562
The GCF of 7620,4446 is 6 .
LCM of 766,4562 is 1747246.
The greatest common factor of 7620/766,4446/4562 = [GCF of 7620,4446]/[LCM of 766,4562]= 6/1747246
Therefore, the GCF of 7620/766,4446/4562 is 6/1747246.
To find the highest common factor of 7620,4446, we have to find the factors of both numbers and list the highest common factor.
The factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620
The factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446
The HCF of 7620,4446 is 6.
Lets's calculate GCF of 7620,4446
| 2 | 7620, 4446 |
| 3 | 3810, 2223 |
| 1270, 741 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7620,4446 By Matching Biggest Common Factor Method
Now, list down the factors of 7620
:1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Now, list down the factors of 4446
:1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446
Greatest Common Factor
We found the factors 7620,4446 . The biggest common factor number is the GCF number.
So the greatest common factor 7620,4446 is 6.
Lets's calculate LCM of 766,4562
| 2 | 766, 4562 |
| 383, 2281 |
∴ So the LCM of the given numbers is 2 x 383 x 2281 = 1747246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1747246
Therefore, the GCF of Fractions 7620/766,4446/4562 is 6/1747246
Least Common Multiple of 766,4562 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 766,4562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,4562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,4562) x common factors =2 x 1 = 2
LCM(766,4562) = ( 766 × 4562 ) / 2
LCM(766,4562) = 3494492 / 2
LCM(766,4562) = 1747246
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FAQs on GCF of Fractions of 7620/766, 4446/4562
1. What is the HCF of 7620,4446?
The HCF of 7620,4446 is 6
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 7620/766, 4446/4562?
Answer: GCF of Numerators as per given numbers 7620/766, 4446/4562 is
GCF of Numerators i.e. for 7620,4446 is 6
LCM of denominators i.e. for 766,4562 is 1747246.
Thus, GCF of Fractions is 6/1747246.Finally, GCF of Fractions for 7620/766, 4446/4562 is 6/1747246.