GCF of 6708/624, 3038/5949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6708/624, 3038/5949 i.e 2/1237392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6708/624, 3038/5949.
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 6708/624,3038/5949?
Given fractions are 6708/624,3038/5949
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 6708/624,3038/5949, numerators are 6708,3038
Denominators are 624,5949
The GCF of 6708,3038 is 2 .
LCM of 624,5949 is 1237392.
The greatest common factor of 6708/624,3038/5949 = [GCF of 6708,3038]/[LCM of 624,5949]= 2/1237392
Therefore, the GCF of 6708/624,3038/5949 is 2/1237392.
To find the highest common factor of 6708,3038, we have to find the factors of both numbers and list the highest common factor.
The factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
The factors of 3038 are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038
The HCF of 6708,3038 is 2.
Lets's calculate GCF of 6708,3038
| 2 | 6708, 3038 |
| 3354, 1519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6708,3038 By Matching Biggest Common Factor Method
Now, list down the factors of 6708
:1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Now, list down the factors of 3038
:1,2,7,14,31,49,62,98,217,434,1519,3038
Greatest Common Factor
We found the factors 6708,3038 . The biggest common factor number is the GCF number.
So the greatest common factor 6708,3038 is 2.
Lets's calculate LCM of 624,5949
| 3 | 624, 5949 |
| 208, 1983 |
∴ So the LCM of the given numbers is 3 x 208 x 1983 = 1237392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1237392
Therefore, the GCF of Fractions 6708/624,3038/5949 is 2/1237392
Least Common Multiple of 624,5949 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 624,5949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5949) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5949) x common factors =3 x 1 = 3
LCM(624,5949) = ( 624 × 5949 ) / 3
LCM(624,5949) = 3712176 / 3
LCM(624,5949) = 1237392
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6708/624, 3038/5949
1. What is the HCF of 6708,3038?
The HCF of 6708,3038 is 2
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 6708/624, 3038/5949?
Answer: GCF of Numerators as per given numbers 6708/624, 3038/5949 is
GCF of Numerators i.e. for 6708,3038 is 2
LCM of denominators i.e. for 624,5949 is 1237392.
Thus, GCF of Fractions is 2/1237392.Finally, GCF of Fractions for 6708/624, 3038/5949 is 2/1237392.