GCF of 1494/902, 8632/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1494/902, 8632/216 i.e 166/97416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1494/902, 8632/216.
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 1494/902,8632/216?
Given fractions are 1494/902,8632/216
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 1494/902,8632/216, numerators are 1494,8632
Denominators are 902,216
The GCF of 1494,8632 is 166 .
LCM of 902,216 is 97416.
The greatest common factor of 1494/902,8632/216 = [GCF of 1494,8632]/[LCM of 902,216]= 166/97416
Therefore, the GCF of 1494/902,8632/216 is 166/97416.
To find the highest common factor of 1494,8632, we have to find the factors of both numbers and list the highest common factor.
The factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The HCF of 1494,8632 is 166.
Lets's calculate GCF of 1494,8632
| 2 | 1494, 8632 |
| 83 | 747, 4316 |
| 9, 52 |
∴ So the GCF of the given numbers is 2 x 83 = 166
Greatest Common Factor of 1494,8632 By Matching Biggest Common Factor Method
Now, list down the factors of 1494
:1,2,3,6,9,18,83,166,249,498,747,1494
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Greatest Common Factor
We found the factors 1494,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 1494,8632 is 166.
Lets's calculate LCM of 902,216
| 2 | 902, 216 |
| 451, 108 |
∴ So the LCM of the given numbers is 2 x 451 x 108 = 97416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 166/97416
Therefore, the GCF of Fractions 1494/902,8632/216 is 166/97416
Least Common Multiple of 902,216 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 902,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,216) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,216) x common factors =2 x 1 = 2
LCM(902,216) = ( 902 × 216 ) / 2
LCM(902,216) = 194832 / 2
LCM(902,216) = 97416
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FAQs on GCF of Fractions of 1494/902, 8632/216
1. What is the HCF of 1494,8632?
The HCF of 1494,8632 is 166
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 1494/902, 8632/216?
Answer: GCF of Numerators as per given numbers 1494/902, 8632/216 is
GCF of Numerators i.e. for 1494,8632 is 166
LCM of denominators i.e. for 902,216 is 97416.
Thus, GCF of Fractions is 166/97416.Finally, GCF of Fractions for 1494/902, 8632/216 is 166/97416.