GCF of 4475/652, 1715/5730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4475/652, 1715/5730 i.e 5/1867980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4475/652, 1715/5730.
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 4475/652,1715/5730?
Given fractions are 4475/652,1715/5730
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 4475/652,1715/5730, numerators are 4475,1715
Denominators are 652,5730
The GCF of 4475,1715 is 5 .
LCM of 652,5730 is 1867980.
The greatest common factor of 4475/652,1715/5730 = [GCF of 4475,1715]/[LCM of 652,5730]= 5/1867980
Therefore, the GCF of 4475/652,1715/5730 is 5/1867980.
To find the highest common factor of 4475,1715, we have to find the factors of both numbers and list the highest common factor.
The factors of 4475 are 1, 5, 25, 179, 895, 4475
The factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715
The HCF of 4475,1715 is 5.
Lets's calculate GCF of 4475,1715
| 5 | 4475, 1715 |
| 895, 343 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4475,1715 By Matching Biggest Common Factor Method
Now, list down the factors of 4475
:1,5,25,179,895,4475
Now, list down the factors of 1715
:1,5,7,35,49,245,343,1715
Greatest Common Factor
We found the factors 4475,1715 . The biggest common factor number is the GCF number.
So the greatest common factor 4475,1715 is 5.
Lets's calculate LCM of 652,5730
| 2 | 652, 5730 |
| 326, 2865 |
∴ So the LCM of the given numbers is 2 x 326 x 2865 = 1867980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1867980
Therefore, the GCF of Fractions 4475/652,1715/5730 is 5/1867980
Least Common Multiple of 652,5730 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 652,5730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,5730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,5730) x common factors =2 x 1 = 2
LCM(652,5730) = ( 652 × 5730 ) / 2
LCM(652,5730) = 3735960 / 2
LCM(652,5730) = 1867980
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FAQs on GCF of Fractions of 4475/652, 1715/5730
1. What is the HCF of 4475,1715?
The HCF of 4475,1715 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 4475/652, 1715/5730?
Answer: GCF of Numerators as per given numbers 4475/652, 1715/5730 is
GCF of Numerators i.e. for 4475,1715 is 5
LCM of denominators i.e. for 652,5730 is 1867980.
Thus, GCF of Fractions is 5/1867980.Finally, GCF of Fractions for 4475/652, 1715/5730 is 5/1867980.