GCF of 63/36, 762/29, 661/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 63/36, 762/29, 661/675 i.e 1/78300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/36, 762/29, 661/675.
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 63/36,762/29,661/675?
Given fractions are 63/36,762/29,661/675
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 63/36,762/29,661/675, numerators are 63,762,661
Denominators are 36,29,675
The GCF of 63,762,661 is 1 .
LCM of 36,29,675 is 78300.
The greatest common factor of 63/36,762/29,661/675 = [GCF of 63,762,661]/[LCM of 36,29,675]= 1/78300
Therefore, the GCF of 63/36,762/29,661/675 is 1/78300.
To find the highest common factor of 63,762,661, 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 762 are 1, 2, 3, 6, 127, 254, 381, 762
The factors of 661 are 1, 661
The HCF of 63,762,661 is 1.
Lets's calculate GCF of 63,762,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 63,762,661 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 762
:1,2,3,6,127,254,381,762
Now, list down the factors of 661
:1,661
Greatest Common Factor
We found the factors 63,762,661 . The biggest common factor number is the GCF number.
So the greatest common factor 63,762,661 is 1.
Lets's calculate LCM of 36,29,675
| 3 | 36, 29, 675 |
| 3 | 12, 29, 225 |
| 4, 29, 75 |
∴ So the LCM of the given numbers is 3 x 3 x 4 x 29 x 75 = 78300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78300
Therefore, the GCF of Fractions 63/36,762/29,661/675 is 1/78300
Least Common Multiple of 36,29,675 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 36,29,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,29,675) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(36,29,675) x common factors =1 x 9 = 9
LCM(36,29,675) = ( 36 × 29 × 675 ) / 9
LCM(36,29,675) = 704700 / 9
LCM(36,29,675) = 78300
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FAQs on GCF of Fractions of 63/36, 762/29, 661/675
1. What is the HCF of 63,762,661?
The HCF of 63,762,661 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 63/36, 762/29, 661/675?
Answer: GCF of Numerators as per given numbers 63/36, 762/29, 661/675 is
GCF of Numerators i.e. for 63,762,661 is 1
LCM of denominators i.e. for 36,29,675 is 78300.
Thus, GCF of Fractions is 1/78300.Finally, GCF of Fractions for 63/36, 762/29, 661/675 is 1/78300.