GCF of 34/977, 44/872, 518/818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/977, 44/872, 518/818 i.e 2/348445096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/977, 44/872, 518/818.
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 34/977,44/872,518/818?
Given fractions are 34/977,44/872,518/818
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 34/977,44/872,518/818, numerators are 34,44,518
Denominators are 977,872,818
The GCF of 34,44,518 is 2 .
LCM of 977,872,818 is 348445096.
The greatest common factor of 34/977,44/872,518/818 = [GCF of 34,44,518]/[LCM of 977,872,818]= 2/348445096
Therefore, the GCF of 34/977,44/872,518/818 is 2/348445096.
To find the highest common factor of 34,44,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 34,44,518 is 2.
Lets's calculate GCF of 34,44,518
| 2 | 34, 44, 518 |
| 17, 22, 259 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,44,518 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 34,44,518 . The biggest common factor number is the GCF number.
So the greatest common factor 34,44,518 is 2.
Lets's calculate LCM of 977,872,818
| 2 | 977, 872, 818 |
| 977, 436, 409 |
∴ So the LCM of the given numbers is 2 x 977 x 436 x 409 = 348445096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/348445096
Therefore, the GCF of Fractions 34/977,44/872,518/818 is 2/348445096
Least Common Multiple of 977,872,818 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 977,872,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,872,818) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(977,872,818) x common factors =1 x 2 = 2
LCM(977,872,818) = ( 977 × 872 × 818 ) / 2
LCM(977,872,818) = 696890192 / 2
LCM(977,872,818) = 348445096
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FAQs on GCF of Fractions of 34/977, 44/872, 518/818
1. What is the HCF of 34,44,518?
The HCF of 34,44,518 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 34/977, 44/872, 518/818?
Answer: GCF of Numerators as per given numbers 34/977, 44/872, 518/818 is
GCF of Numerators i.e. for 34,44,518 is 2
LCM of denominators i.e. for 977,872,818 is 348445096.
Thus, GCF of Fractions is 2/348445096.Finally, GCF of Fractions for 34/977, 44/872, 518/818 is 2/348445096.