GCF of 3766/862, 5118/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3766/862, 5118/160 i.e 2/68960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3766/862, 5118/160.
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 3766/862,5118/160?
Given fractions are 3766/862,5118/160
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 3766/862,5118/160, numerators are 3766,5118
Denominators are 862,160
The GCF of 3766,5118 is 2 .
LCM of 862,160 is 68960.
The greatest common factor of 3766/862,5118/160 = [GCF of 3766,5118]/[LCM of 862,160]= 2/68960
Therefore, the GCF of 3766/862,5118/160 is 2/68960.
To find the highest common factor of 3766,5118, we have to find the factors of both numbers and list the highest common factor.
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118
The HCF of 3766,5118 is 2.
Lets's calculate GCF of 3766,5118
| 2 | 3766, 5118 |
| 1883, 2559 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3766,5118 By Matching Biggest Common Factor Method
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Now, list down the factors of 5118
:1,2,3,6,853,1706,2559,5118
Greatest Common Factor
We found the factors 3766,5118 . The biggest common factor number is the GCF number.
So the greatest common factor 3766,5118 is 2.
Lets's calculate LCM of 862,160
| 2 | 862, 160 |
| 431, 80 |
∴ So the LCM of the given numbers is 2 x 431 x 80 = 68960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68960
Therefore, the GCF of Fractions 3766/862,5118/160 is 2/68960
Least Common Multiple of 862,160 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 862,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,160) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,160) x common factors =2 x 1 = 2
LCM(862,160) = ( 862 × 160 ) / 2
LCM(862,160) = 137920 / 2
LCM(862,160) = 68960
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FAQs on GCF of Fractions of 3766/862, 5118/160
1. What is the HCF of 3766,5118?
The HCF of 3766,5118 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 3766/862, 5118/160?
Answer: GCF of Numerators as per given numbers 3766/862, 5118/160 is
GCF of Numerators i.e. for 3766,5118 is 2
LCM of denominators i.e. for 862,160 is 68960.
Thus, GCF of Fractions is 2/68960.Finally, GCF of Fractions for 3766/862, 5118/160 is 2/68960.