GCF of 1355/424, 7165/1976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1355/424, 7165/1976 i.e 5/104728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1355/424, 7165/1976.
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 1355/424,7165/1976?
Given fractions are 1355/424,7165/1976
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 1355/424,7165/1976, numerators are 1355,7165
Denominators are 424,1976
The GCF of 1355,7165 is 5 .
LCM of 424,1976 is 104728.
The greatest common factor of 1355/424,7165/1976 = [GCF of 1355,7165]/[LCM of 424,1976]= 5/104728
Therefore, the GCF of 1355/424,7165/1976 is 5/104728.
To find the highest common factor of 1355,7165, we have to find the factors of both numbers and list the highest common factor.
The factors of 1355 are 1, 5, 271, 1355
The factors of 7165 are 1, 5, 1433, 7165
The HCF of 1355,7165 is 5.
Lets's calculate GCF of 1355,7165
| 5 | 1355, 7165 |
| 271, 1433 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1355,7165 By Matching Biggest Common Factor Method
Now, list down the factors of 1355
:1,5,271,1355
Now, list down the factors of 7165
:1,5,1433,7165
Greatest Common Factor
We found the factors 1355,7165 . The biggest common factor number is the GCF number.
So the greatest common factor 1355,7165 is 5.
Lets's calculate LCM of 424,1976
| 2 | 424, 1976 |
| 2 | 212, 988 |
| 2 | 106, 494 |
| 53, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 247 = 104728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/104728
Therefore, the GCF of Fractions 1355/424,7165/1976 is 5/104728
Least Common Multiple of 424,1976 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 424,1976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,1976) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(424,1976) x common factors =8 x 1 = 8
LCM(424,1976) = ( 424 × 1976 ) / 8
LCM(424,1976) = 837824 / 8
LCM(424,1976) = 104728
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FAQs on GCF of Fractions of 1355/424, 7165/1976
1. What is the HCF of 1355,7165?
The HCF of 1355,7165 is 5
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 1355/424, 7165/1976?
Answer: GCF of Numerators as per given numbers 1355/424, 7165/1976 is
GCF of Numerators i.e. for 1355,7165 is 5
LCM of denominators i.e. for 424,1976 is 104728.
Thus, GCF of Fractions is 5/104728.Finally, GCF of Fractions for 1355/424, 7165/1976 is 5/104728.