GCF of 625/86, 670/45, 292/38
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 625/86, 670/45, 292/38 i.e 1/73530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/86, 670/45, 292/38.
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 625/86,670/45,292/38?
Given fractions are 625/86,670/45,292/38
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 625/86,670/45,292/38, numerators are 625,670,292
Denominators are 86,45,38
The GCF of 625,670,292 is 1 .
LCM of 86,45,38 is 73530.
The greatest common factor of 625/86,670/45,292/38 = [GCF of 625,670,292]/[LCM of 86,45,38]= 1/73530
Therefore, the GCF of 625/86,670/45,292/38 is 1/73530.
To find the highest common factor of 625,670,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 625 are 1, 5, 25, 125, 625
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 625,670,292 is 1.
Lets's calculate GCF of 625,670,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 625,670,292 By Matching Biggest Common Factor Method
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 625,670,292 . The biggest common factor number is the GCF number.
So the greatest common factor 625,670,292 is 1.
Lets's calculate LCM of 86,45,38
| 2 | 86, 45, 38 |
| 43, 45, 19 |
∴ So the LCM of the given numbers is 2 x 43 x 45 x 19 = 73530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73530
Therefore, the GCF of Fractions 625/86,670/45,292/38 is 1/73530
Least Common Multiple of 86,45,38 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 86,45,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,45,38) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,45,38) x common factors =1 x 2 = 2
LCM(86,45,38) = ( 86 × 45 × 38 ) / 2
LCM(86,45,38) = 147060 / 2
LCM(86,45,38) = 73530
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FAQs on GCF of Fractions of 625/86, 670/45, 292/38
1. What is the HCF of 625,670,292?
The HCF of 625,670,292 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 625/86, 670/45, 292/38?
Answer: GCF of Numerators as per given numbers 625/86, 670/45, 292/38 is
GCF of Numerators i.e. for 625,670,292 is 1
LCM of denominators i.e. for 86,45,38 is 73530.
Thus, GCF of Fractions is 1/73530.Finally, GCF of Fractions for 625/86, 670/45, 292/38 is 1/73530.