GCF of 3434/395, 2758/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3434/395, 2758/116 i.e 2/45820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3434/395, 2758/116.
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 3434/395,2758/116?
Given fractions are 3434/395,2758/116
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 3434/395,2758/116, numerators are 3434,2758
Denominators are 395,116
The GCF of 3434,2758 is 2 .
LCM of 395,116 is 45820.
The greatest common factor of 3434/395,2758/116 = [GCF of 3434,2758]/[LCM of 395,116]= 2/45820
Therefore, the GCF of 3434/395,2758/116 is 2/45820.
To find the highest common factor of 3434,2758, we have to find the factors of both numbers and list the highest common factor.
The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434
The factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758
The HCF of 3434,2758 is 2.
Lets's calculate GCF of 3434,2758
| 2 | 3434, 2758 |
| 1717, 1379 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3434,2758 By Matching Biggest Common Factor Method
Now, list down the factors of 3434
:1,2,17,34,101,202,1717,3434
Now, list down the factors of 2758
:1,2,7,14,197,394,1379,2758
Greatest Common Factor
We found the factors 3434,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 3434,2758 is 2.
Lets's calculate LCM of 395,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 45820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45820
Therefore, the GCF of Fractions 3434/395,2758/116 is 2/45820
Least Common Multiple of 395,116 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 395,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,116) x common factors =1 x 1 = 1
LCM(395,116) = ( 395 × 116 ) / 1
LCM(395,116) = 45820 / 1
LCM(395,116) = 45820
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FAQs on GCF of Fractions of 3434/395, 2758/116
1. What is the HCF of 3434,2758?
The HCF of 3434,2758 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 3434/395, 2758/116?
Answer: GCF of Numerators as per given numbers 3434/395, 2758/116 is
GCF of Numerators i.e. for 3434,2758 is 2
LCM of denominators i.e. for 395,116 is 45820.
Thus, GCF of Fractions is 2/45820.Finally, GCF of Fractions for 3434/395, 2758/116 is 2/45820.