GCF of 28/508, 61/102, 361/386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/508, 61/102, 361/386 i.e 1/5000244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/508, 61/102, 361/386.
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 28/508,61/102,361/386?
Given fractions are 28/508,61/102,361/386
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 28/508,61/102,361/386, numerators are 28,61,361
Denominators are 508,102,386
The GCF of 28,61,361 is 1 .
LCM of 508,102,386 is 5000244.
The greatest common factor of 28/508,61/102,361/386 = [GCF of 28,61,361]/[LCM of 508,102,386]= 1/5000244
Therefore, the GCF of 28/508,61/102,361/386 is 1/5000244.
To find the highest common factor of 28,61,361, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 61 are 1, 61
The factors of 361 are 1, 19, 361
The HCF of 28,61,361 is 1.
Lets's calculate GCF of 28,61,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,61,361 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 61
:1,61
Now, list down the factors of 361
:1,19,361
Greatest Common Factor
We found the factors 28,61,361 . The biggest common factor number is the GCF number.
So the greatest common factor 28,61,361 is 1.
Lets's calculate LCM of 508,102,386
| 2 | 508, 102, 386 |
| 254, 51, 193 |
∴ So the LCM of the given numbers is 2 x 254 x 51 x 193 = 5000244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5000244
Therefore, the GCF of Fractions 28/508,61/102,361/386 is 1/5000244
Least Common Multiple of 508,102,386 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 508,102,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,102,386) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(508,102,386) x common factors =2 x 2 = 4
LCM(508,102,386) = ( 508 × 102 × 386 ) / 4
LCM(508,102,386) = 20000976 / 4
LCM(508,102,386) = 5000244
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FAQs on GCF of Fractions of 28/508, 61/102, 361/386
1. What is the HCF of 28,61,361?
The HCF of 28,61,361 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 28/508, 61/102, 361/386?
Answer: GCF of Numerators as per given numbers 28/508, 61/102, 361/386 is
GCF of Numerators i.e. for 28,61,361 is 1
LCM of denominators i.e. for 508,102,386 is 5000244.
Thus, GCF of Fractions is 1/5000244.Finally, GCF of Fractions for 28/508, 61/102, 361/386 is 1/5000244.