GCF of 1655/746, 1525/846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1655/746, 1525/846 i.e 5/315558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1655/746, 1525/846.
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 1655/746,1525/846?
Given fractions are 1655/746,1525/846
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 1655/746,1525/846, numerators are 1655,1525
Denominators are 746,846
The GCF of 1655,1525 is 5 .
LCM of 746,846 is 315558.
The greatest common factor of 1655/746,1525/846 = [GCF of 1655,1525]/[LCM of 746,846]= 5/315558
Therefore, the GCF of 1655/746,1525/846 is 5/315558.
To find the highest common factor of 1655,1525, we have to find the factors of both numbers and list the highest common factor.
The factors of 1655 are 1, 5, 331, 1655
The factors of 1525 are 1, 5, 25, 61, 305, 1525
The HCF of 1655,1525 is 5.
Lets's calculate GCF of 1655,1525
| 5 | 1655, 1525 |
| 331, 305 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1655,1525 By Matching Biggest Common Factor Method
Now, list down the factors of 1655
:1,5,331,1655
Now, list down the factors of 1525
:1,5,25,61,305,1525
Greatest Common Factor
We found the factors 1655,1525 . The biggest common factor number is the GCF number.
So the greatest common factor 1655,1525 is 5.
Lets's calculate LCM of 746,846
| 2 | 746, 846 |
| 373, 423 |
∴ So the LCM of the given numbers is 2 x 373 x 423 = 315558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/315558
Therefore, the GCF of Fractions 1655/746,1525/846 is 5/315558
Least Common Multiple of 746,846 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 746,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,846) x common factors =2 x 1 = 2
LCM(746,846) = ( 746 × 846 ) / 2
LCM(746,846) = 631116 / 2
LCM(746,846) = 315558
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FAQs on GCF of Fractions of 1655/746, 1525/846
1. What is the HCF of 1655,1525?
The HCF of 1655,1525 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 1655/746, 1525/846?
Answer: GCF of Numerators as per given numbers 1655/746, 1525/846 is
GCF of Numerators i.e. for 1655,1525 is 5
LCM of denominators i.e. for 746,846 is 315558.
Thus, GCF of Fractions is 5/315558.Finally, GCF of Fractions for 1655/746, 1525/846 is 5/315558.