GCF of 752/575, 290/131, 825/570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 752/575, 290/131, 825/570 i.e 1/8587050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 752/575, 290/131, 825/570.
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 752/575,290/131,825/570?
Given fractions are 752/575,290/131,825/570
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 752/575,290/131,825/570, numerators are 752,290,825
Denominators are 575,131,570
The GCF of 752,290,825 is 1 .
LCM of 575,131,570 is 8587050.
The greatest common factor of 752/575,290/131,825/570 = [GCF of 752,290,825]/[LCM of 575,131,570]= 1/8587050
Therefore, the GCF of 752/575,290/131,825/570 is 1/8587050.
To find the highest common factor of 752,290,825, we have to find the factors of both numbers and list the highest common factor.
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 752,290,825 is 1.
Lets's calculate GCF of 752,290,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 752,290,825 By Matching Biggest Common Factor Method
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 752,290,825 . The biggest common factor number is the GCF number.
So the greatest common factor 752,290,825 is 1.
Lets's calculate LCM of 575,131,570
| 5 | 575, 131, 570 |
| 115, 131, 114 |
∴ So the LCM of the given numbers is 5 x 115 x 131 x 114 = 8587050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8587050
Therefore, the GCF of Fractions 752/575,290/131,825/570 is 1/8587050
Least Common Multiple of 575,131,570 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 575,131,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,131,570) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(575,131,570) x common factors =1 x 5 = 5
LCM(575,131,570) = ( 575 × 131 × 570 ) / 5
LCM(575,131,570) = 42935250 / 5
LCM(575,131,570) = 8587050
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FAQs on GCF of Fractions of 752/575, 290/131, 825/570
1. What is the HCF of 752,290,825?
The HCF of 752,290,825 is 1
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 752/575, 290/131, 825/570?
Answer: GCF of Numerators as per given numbers 752/575, 290/131, 825/570 is
GCF of Numerators i.e. for 752,290,825 is 1
LCM of denominators i.e. for 575,131,570 is 8587050.
Thus, GCF of Fractions is 1/8587050.Finally, GCF of Fractions for 752/575, 290/131, 825/570 is 1/8587050.