GCF of 353/59, 878/35, 444/28
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 353/59, 878/35, 444/28 i.e 1/8260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/59, 878/35, 444/28.
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 353/59,878/35,444/28?
Given fractions are 353/59,878/35,444/28
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 353/59,878/35,444/28, numerators are 353,878,444
Denominators are 59,35,28
The GCF of 353,878,444 is 1 .
LCM of 59,35,28 is 8260.
The greatest common factor of 353/59,878/35,444/28 = [GCF of 353,878,444]/[LCM of 59,35,28]= 1/8260
Therefore, the GCF of 353/59,878/35,444/28 is 1/8260.
To find the highest common factor of 353,878,444, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 878 are 1, 2, 439, 878
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The HCF of 353,878,444 is 1.
Lets's calculate GCF of 353,878,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 353,878,444 By Matching Biggest Common Factor Method
Now, list down the factors of 353
:1,353
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 353,878,444 . The biggest common factor number is the GCF number.
So the greatest common factor 353,878,444 is 1.
Lets's calculate LCM of 59,35,28
| 7 | 59, 35, 28 |
| 59, 5, 4 |
∴ So the LCM of the given numbers is 7 x 59 x 5 x 4 = 8260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8260
Therefore, the GCF of Fractions 353/59,878/35,444/28 is 1/8260
Least Common Multiple of 59,35,28 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 59,35,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,35,28) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(59,35,28) x common factors =1 x 7 = 7
LCM(59,35,28) = ( 59 × 35 × 28 ) / 7
LCM(59,35,28) = 57820 / 7
LCM(59,35,28) = 8260
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FAQs on GCF of Fractions of 353/59, 878/35, 444/28
1. What is the HCF of 353,878,444?
The HCF of 353,878,444 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 353/59, 878/35, 444/28?
Answer: GCF of Numerators as per given numbers 353/59, 878/35, 444/28 is
GCF of Numerators i.e. for 353,878,444 is 1
LCM of denominators i.e. for 59,35,28 is 8260.
Thus, GCF of Fractions is 1/8260.Finally, GCF of Fractions for 353/59, 878/35, 444/28 is 1/8260.