GCF of 868/482, 144/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/482, 144/740 i.e 4/178340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/482, 144/740.
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 868/482,144/740?
Given fractions are 868/482,144/740
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 868/482,144/740, numerators are 868,144
Denominators are 482,740
The GCF of 868,144 is 4 .
LCM of 482,740 is 178340.
The greatest common factor of 868/482,144/740 = [GCF of 868,144]/[LCM of 482,740]= 4/178340
Therefore, the GCF of 868/482,144/740 is 4/178340.
To find the highest common factor of 868,144, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The HCF of 868,144 is 4.
Lets's calculate GCF of 868,144
| 2 | 868, 144 |
| 2 | 434, 72 |
| 217, 36 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 868,144 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 144
:1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 868,144 . The biggest common factor number is the GCF number.
So the greatest common factor 868,144 is 4.
Lets's calculate LCM of 482,740
| 2 | 482, 740 |
| 241, 370 |
∴ So the LCM of the given numbers is 2 x 241 x 370 = 178340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/178340
Therefore, the GCF of Fractions 868/482,144/740 is 4/178340
Least Common Multiple of 482,740 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 482,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,740) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,740) x common factors =2 x 1 = 2
LCM(482,740) = ( 482 × 740 ) / 2
LCM(482,740) = 356680 / 2
LCM(482,740) = 178340
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FAQs on GCF of Fractions of 868/482, 144/740
1. What is the HCF of 868,144?
The HCF of 868,144 is 4
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 868/482, 144/740?
Answer: GCF of Numerators as per given numbers 868/482, 144/740 is
GCF of Numerators i.e. for 868,144 is 4
LCM of denominators i.e. for 482,740 is 178340.
Thus, GCF of Fractions is 4/178340.Finally, GCF of Fractions for 868/482, 144/740 is 4/178340.