GCF of 1706/382, 2076/4468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1706/382, 2076/4468 i.e 2/853388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1706/382, 2076/4468.
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 1706/382,2076/4468?
Given fractions are 1706/382,2076/4468
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 1706/382,2076/4468, numerators are 1706,2076
Denominators are 382,4468
The GCF of 1706,2076 is 2 .
LCM of 382,4468 is 853388.
The greatest common factor of 1706/382,2076/4468 = [GCF of 1706,2076]/[LCM of 382,4468]= 2/853388
Therefore, the GCF of 1706/382,2076/4468 is 2/853388.
To find the highest common factor of 1706,2076, we have to find the factors of both numbers and list the highest common factor.
The factors of 1706 are 1, 2, 853, 1706
The factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076
The HCF of 1706,2076 is 2.
Lets's calculate GCF of 1706,2076
| 2 | 1706, 2076 |
| 853, 1038 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1706,2076 By Matching Biggest Common Factor Method
Now, list down the factors of 1706
:1,2,853,1706
Now, list down the factors of 2076
:1,2,3,4,6,12,173,346,519,692,1038,2076
Greatest Common Factor
We found the factors 1706,2076 . The biggest common factor number is the GCF number.
So the greatest common factor 1706,2076 is 2.
Lets's calculate LCM of 382,4468
| 2 | 382, 4468 |
| 191, 2234 |
∴ So the LCM of the given numbers is 2 x 191 x 2234 = 853388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/853388
Therefore, the GCF of Fractions 1706/382,2076/4468 is 2/853388
Least Common Multiple of 382,4468 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 382,4468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,4468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,4468) x common factors =2 x 1 = 2
LCM(382,4468) = ( 382 × 4468 ) / 2
LCM(382,4468) = 1706776 / 2
LCM(382,4468) = 853388
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FAQs on GCF of Fractions of 1706/382, 2076/4468
1. What is the HCF of 1706,2076?
The HCF of 1706,2076 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 1706/382, 2076/4468?
Answer: GCF of Numerators as per given numbers 1706/382, 2076/4468 is
GCF of Numerators i.e. for 1706,2076 is 2
LCM of denominators i.e. for 382,4468 is 853388.
Thus, GCF of Fractions is 2/853388.Finally, GCF of Fractions for 1706/382, 2076/4468 is 2/853388.