GCF of 3605/376, 1519/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3605/376, 1519/562 i.e 7/105656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3605/376, 1519/562.
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 3605/376,1519/562?
Given fractions are 3605/376,1519/562
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 3605/376,1519/562, numerators are 3605,1519
Denominators are 376,562
The GCF of 3605,1519 is 7 .
LCM of 376,562 is 105656.
The greatest common factor of 3605/376,1519/562 = [GCF of 3605,1519]/[LCM of 376,562]= 7/105656
Therefore, the GCF of 3605/376,1519/562 is 7/105656.
To find the highest common factor of 3605,1519, we have to find the factors of both numbers and list the highest common factor.
The factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605
The factors of 1519 are 1, 7, 31, 49, 217, 1519
The HCF of 3605,1519 is 7.
Lets's calculate GCF of 3605,1519
| 7 | 3605, 1519 |
| 515, 217 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3605,1519 By Matching Biggest Common Factor Method
Now, list down the factors of 3605
:1,5,7,35,103,515,721,3605
Now, list down the factors of 1519
:1,7,31,49,217,1519
Greatest Common Factor
We found the factors 3605,1519 . The biggest common factor number is the GCF number.
So the greatest common factor 3605,1519 is 7.
Lets's calculate LCM of 376,562
| 2 | 376, 562 |
| 188, 281 |
∴ So the LCM of the given numbers is 2 x 188 x 281 = 105656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/105656
Therefore, the GCF of Fractions 3605/376,1519/562 is 7/105656
Least Common Multiple of 376,562 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 376,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,562) x common factors =2 x 1 = 2
LCM(376,562) = ( 376 × 562 ) / 2
LCM(376,562) = 211312 / 2
LCM(376,562) = 105656
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FAQs on GCF of Fractions of 3605/376, 1519/562
1. What is the HCF of 3605,1519?
The HCF of 3605,1519 is 7
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 3605/376, 1519/562?
Answer: GCF of Numerators as per given numbers 3605/376, 1519/562 is
GCF of Numerators i.e. for 3605,1519 is 7
LCM of denominators i.e. for 376,562 is 105656.
Thus, GCF of Fractions is 7/105656.Finally, GCF of Fractions for 3605/376, 1519/562 is 7/105656.