GCF of 95/217, 92/632, 210/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/217, 92/632, 210/672 i.e 1/1645728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/217, 92/632, 210/672.
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 95/217,92/632,210/672?
Given fractions are 95/217,92/632,210/672
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 95/217,92/632,210/672, numerators are 95,92,210
Denominators are 217,632,672
The GCF of 95,92,210 is 1 .
LCM of 217,632,672 is 1645728.
The greatest common factor of 95/217,92/632,210/672 = [GCF of 95,92,210]/[LCM of 217,632,672]= 1/1645728
Therefore, the GCF of 95/217,92/632,210/672 is 1/1645728.
To find the highest common factor of 95,92,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 95,92,210 is 1.
Lets's calculate GCF of 95,92,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,92,210 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 95,92,210 . The biggest common factor number is the GCF number.
So the greatest common factor 95,92,210 is 1.
Lets's calculate LCM of 217,632,672
| 2 | 217, 632, 672 |
| 2 | 217, 316, 336 |
| 2 | 217, 158, 168 |
| 7 | 217, 79, 84 |
| 31, 79, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 31 x 79 x 12 = 1645728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1645728
Therefore, the GCF of Fractions 95/217,92/632,210/672 is 1/1645728
Least Common Multiple of 217,632,672 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 217,632,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,632,672) = 1
common factors(in case of two or more numbers have common factors) = 56
GCF(217,632,672) x common factors =1 x 56 = 56
LCM(217,632,672) = ( 217 × 632 × 672 ) / 56
LCM(217,632,672) = 92160768 / 56
LCM(217,632,672) = 1645728
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FAQs on GCF of Fractions of 95/217, 92/632, 210/672
1. What is the HCF of 95,92,210?
The HCF of 95,92,210 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 95/217, 92/632, 210/672?
Answer: GCF of Numerators as per given numbers 95/217, 92/632, 210/672 is
GCF of Numerators i.e. for 95,92,210 is 1
LCM of denominators i.e. for 217,632,672 is 1645728.
Thus, GCF of Fractions is 1/1645728.Finally, GCF of Fractions for 95/217, 92/632, 210/672 is 1/1645728.