GCF of 632/39, 102/6768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 632/39, 102/6768 i.e 2/87984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/39, 102/6768.
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 632/39,102/6768?
Given fractions are 632/39,102/6768
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 632/39,102/6768, numerators are 632,102
Denominators are 39,6768
The GCF of 632,102 is 2 .
LCM of 39,6768 is 87984.
The greatest common factor of 632/39,102/6768 = [GCF of 632,102]/[LCM of 39,6768]= 2/87984
Therefore, the GCF of 632/39,102/6768 is 2/87984.
To find the highest common factor of 632,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 632,102 is 2.
Lets's calculate GCF of 632,102
| 2 | 632, 102 |
| 316, 51 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 632,102 By Matching Biggest Common Factor Method
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 632,102 . The biggest common factor number is the GCF number.
So the greatest common factor 632,102 is 2.
Lets's calculate LCM of 39,6768
| 3 | 39, 6768 |
| 13, 2256 |
∴ So the LCM of the given numbers is 3 x 13 x 2256 = 87984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87984
Therefore, the GCF of Fractions 632/39,102/6768 is 2/87984
Least Common Multiple of 39,6768 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 39,6768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,6768) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,6768) x common factors =3 x 1 = 3
LCM(39,6768) = ( 39 × 6768 ) / 3
LCM(39,6768) = 263952 / 3
LCM(39,6768) = 87984
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FAQs on GCF of Fractions of 632/39, 102/6768
1. What is the HCF of 632,102?
The HCF of 632,102 is 2
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 632/39, 102/6768?
Answer: GCF of Numerators as per given numbers 632/39, 102/6768 is
GCF of Numerators i.e. for 632,102 is 2
LCM of denominators i.e. for 39,6768 is 87984.
Thus, GCF of Fractions is 2/87984.Finally, GCF of Fractions for 632/39, 102/6768 is 2/87984.