GCF of 4678/120, 7720/6300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4678/120, 7720/6300 i.e 2/12600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4678/120, 7720/6300.
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 4678/120,7720/6300?
Given fractions are 4678/120,7720/6300
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 4678/120,7720/6300, numerators are 4678,7720
Denominators are 120,6300
The GCF of 4678,7720 is 2 .
LCM of 120,6300 is 12600.
The greatest common factor of 4678/120,7720/6300 = [GCF of 4678,7720]/[LCM of 120,6300]= 2/12600
Therefore, the GCF of 4678/120,7720/6300 is 2/12600.
To find the highest common factor of 4678,7720, we have to find the factors of both numbers and list the highest common factor.
The factors of 4678 are 1, 2, 2339, 4678
The factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720
The HCF of 4678,7720 is 2.
Lets's calculate GCF of 4678,7720
| 2 | 4678, 7720 |
| 2339, 3860 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4678,7720 By Matching Biggest Common Factor Method
Now, list down the factors of 4678
:1,2,2339,4678
Now, list down the factors of 7720
:1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720
Greatest Common Factor
We found the factors 4678,7720 . The biggest common factor number is the GCF number.
So the greatest common factor 4678,7720 is 2.
Lets's calculate LCM of 120,6300
| 2 | 120, 6300 |
| 2 | 60, 3150 |
| 3 | 30, 1575 |
| 5 | 10, 525 |
| 2, 105 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 105 = 12600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12600
Therefore, the GCF of Fractions 4678/120,7720/6300 is 2/12600
Least Common Multiple of 120,6300 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 120,6300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,6300) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(120,6300) x common factors =60 x 1 = 60
LCM(120,6300) = ( 120 × 6300 ) / 60
LCM(120,6300) = 756000 / 60
LCM(120,6300) = 12600
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FAQs on GCF of Fractions of 4678/120, 7720/6300
1. What is the HCF of 4678,7720?
The HCF of 4678,7720 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 4678/120, 7720/6300?
Answer: GCF of Numerators as per given numbers 4678/120, 7720/6300 is
GCF of Numerators i.e. for 4678,7720 is 2
LCM of denominators i.e. for 120,6300 is 12600.
Thus, GCF of Fractions is 2/12600.Finally, GCF of Fractions for 4678/120, 7720/6300 is 2/12600.