GCF of 63/652, 469/424, 686/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 63/652, 469/424, 686/727 i.e 7/50244424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/652, 469/424, 686/727.
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 63/652,469/424,686/727?
Given fractions are 63/652,469/424,686/727
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 63/652,469/424,686/727, numerators are 63,469,686
Denominators are 652,424,727
The GCF of 63,469,686 is 7 .
LCM of 652,424,727 is 50244424.
The greatest common factor of 63/652,469/424,686/727 = [GCF of 63,469,686]/[LCM of 652,424,727]= 7/50244424
Therefore, the GCF of 63/652,469/424,686/727 is 7/50244424.
To find the highest common factor of 63,469,686, 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 469 are 1, 7, 67, 469
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 63,469,686 is 7.
Lets's calculate GCF of 63,469,686
| 7 | 63, 469, 686 |
| 9, 67, 98 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 63,469,686 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 469
:1,7,67,469
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 63,469,686 . The biggest common factor number is the GCF number.
So the greatest common factor 63,469,686 is 7.
Lets's calculate LCM of 652,424,727
| 2 | 652, 424, 727 |
| 2 | 326, 212, 727 |
| 163, 106, 727 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 106 x 727 = 50244424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/50244424
Therefore, the GCF of Fractions 63/652,469/424,686/727 is 7/50244424
Least Common Multiple of 652,424,727 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 652,424,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,424,727) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(652,424,727) x common factors =1 x 4 = 4
LCM(652,424,727) = ( 652 × 424 × 727 ) / 4
LCM(652,424,727) = 200977696 / 4
LCM(652,424,727) = 50244424
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FAQs on GCF of Fractions of 63/652, 469/424, 686/727
1. What is the HCF of 63,469,686?
The HCF of 63,469,686 is 7
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 63/652, 469/424, 686/727?
Answer: GCF of Numerators as per given numbers 63/652, 469/424, 686/727 is
GCF of Numerators i.e. for 63,469,686 is 7
LCM of denominators i.e. for 652,424,727 is 50244424.
Thus, GCF of Fractions is 7/50244424.Finally, GCF of Fractions for 63/652, 469/424, 686/727 is 7/50244424.