GCF of 63/625, 27/670, 473/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 63/625, 27/670, 473/770 i.e 1/6448750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/625, 27/670, 473/770.
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 63/625,27/670,473/770?
Given fractions are 63/625,27/670,473/770
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 63/625,27/670,473/770, numerators are 63,27,473
Denominators are 625,670,770
The GCF of 63,27,473 is 1 .
LCM of 625,670,770 is 6448750.
The greatest common factor of 63/625,27/670,473/770 = [GCF of 63,27,473]/[LCM of 625,670,770]= 1/6448750
Therefore, the GCF of 63/625,27/670,473/770 is 1/6448750.
To find the highest common factor of 63,27,473, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 27 are 1, 3, 9, 27
The factors of 473 are 1, 11, 43, 473
The HCF of 63,27,473 is 1.
Lets's calculate GCF of 63,27,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 63,27,473 By Matching Biggest Common Factor Method
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 63,27,473 . The biggest common factor number is the GCF number.
So the greatest common factor 63,27,473 is 1.
Lets's calculate LCM of 625,670,770
| 2 | 625, 670, 770 |
| 5 | 625, 335, 385 |
| 125, 67, 77 |
∴ So the LCM of the given numbers is 2 x 5 x 125 x 67 x 77 = 6448750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6448750
Therefore, the GCF of Fractions 63/625,27/670,473/770 is 1/6448750
Least Common Multiple of 625,670,770 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 625,670,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,670,770) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(625,670,770) x common factors =5 x 10 = 50
LCM(625,670,770) = ( 625 × 670 × 770 ) / 50
LCM(625,670,770) = 322437500 / 50
LCM(625,670,770) = 6448750
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FAQs on GCF of Fractions of 63/625, 27/670, 473/770
1. What is the HCF of 63,27,473?
The HCF of 63,27,473 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 63/625, 27/670, 473/770?
Answer: GCF of Numerators as per given numbers 63/625, 27/670, 473/770 is
GCF of Numerators i.e. for 63,27,473 is 1
LCM of denominators i.e. for 625,670,770 is 6448750.
Thus, GCF of Fractions is 1/6448750.Finally, GCF of Fractions for 63/625, 27/670, 473/770 is 1/6448750.