GCF of 4479/624, 5460/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4479/624, 5460/680 i.e 3/53040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4479/624, 5460/680.
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 4479/624,5460/680?
Given fractions are 4479/624,5460/680
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 4479/624,5460/680, numerators are 4479,5460
Denominators are 624,680
The GCF of 4479,5460 is 3 .
LCM of 624,680 is 53040.
The greatest common factor of 4479/624,5460/680 = [GCF of 4479,5460]/[LCM of 624,680]= 3/53040
Therefore, the GCF of 4479/624,5460/680 is 3/53040.
To find the highest common factor of 4479,5460, we have to find the factors of both numbers and list the highest common factor.
The factors of 4479 are 1, 3, 1493, 4479
The factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460
The HCF of 4479,5460 is 3.
Lets's calculate GCF of 4479,5460
| 3 | 4479, 5460 |
| 1493, 1820 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4479,5460 By Matching Biggest Common Factor Method
Now, list down the factors of 4479
:1,3,1493,4479
Now, list down the factors of 5460
:1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460
Greatest Common Factor
We found the factors 4479,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 4479,5460 is 3.
Lets's calculate LCM of 624,680
| 2 | 624, 680 |
| 2 | 312, 340 |
| 2 | 156, 170 |
| 78, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 78 x 85 = 53040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53040
Therefore, the GCF of Fractions 4479/624,5460/680 is 3/53040
Least Common Multiple of 624,680 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 624,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,680) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(624,680) x common factors =8 x 1 = 8
LCM(624,680) = ( 624 × 680 ) / 8
LCM(624,680) = 424320 / 8
LCM(624,680) = 53040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4479/624, 5460/680
1. What is the HCF of 4479,5460?
The HCF of 4479,5460 is 3
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 4479/624, 5460/680?
Answer: GCF of Numerators as per given numbers 4479/624, 5460/680 is
GCF of Numerators i.e. for 4479,5460 is 3
LCM of denominators i.e. for 624,680 is 53040.
Thus, GCF of Fractions is 3/53040.Finally, GCF of Fractions for 4479/624, 5460/680 is 3/53040.