GCF of 7720/196, 1546/399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7720/196, 1546/399 i.e 2/11172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7720/196, 1546/399.
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 7720/196,1546/399?
Given fractions are 7720/196,1546/399
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 7720/196,1546/399, numerators are 7720,1546
Denominators are 196,399
The GCF of 7720,1546 is 2 .
LCM of 196,399 is 11172.
The greatest common factor of 7720/196,1546/399 = [GCF of 7720,1546]/[LCM of 196,399]= 2/11172
Therefore, the GCF of 7720/196,1546/399 is 2/11172.
To find the highest common factor of 7720,1546, we have to find the factors of both numbers and list the highest common factor.
The factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720
The factors of 1546 are 1, 2, 773, 1546
The HCF of 7720,1546 is 2.
Lets's calculate GCF of 7720,1546
| 2 | 7720, 1546 |
| 3860, 773 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7720,1546 By Matching Biggest Common Factor Method
Now, list down the factors of 7720
:1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720
Now, list down the factors of 1546
:1,2,773,1546
Greatest Common Factor
We found the factors 7720,1546 . The biggest common factor number is the GCF number.
So the greatest common factor 7720,1546 is 2.
Lets's calculate LCM of 196,399
| 7 | 196, 399 |
| 28, 57 |
∴ So the LCM of the given numbers is 7 x 28 x 57 = 11172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11172
Therefore, the GCF of Fractions 7720/196,1546/399 is 2/11172
Least Common Multiple of 196,399 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 196,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,399) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(196,399) x common factors =7 x 1 = 7
LCM(196,399) = ( 196 × 399 ) / 7
LCM(196,399) = 78204 / 7
LCM(196,399) = 11172
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FAQs on GCF of Fractions of 7720/196, 1546/399
1. What is the HCF of 7720,1546?
The HCF of 7720,1546 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 7720/196, 1546/399?
Answer: GCF of Numerators as per given numbers 7720/196, 1546/399 is
GCF of Numerators i.e. for 7720,1546 is 2
LCM of denominators i.e. for 196,399 is 11172.
Thus, GCF of Fractions is 2/11172.Finally, GCF of Fractions for 7720/196, 1546/399 is 2/11172.