GCF of 1767/562, 2666/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1767/562, 2666/714 i.e 31/200634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1767/562, 2666/714.
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 1767/562,2666/714?
Given fractions are 1767/562,2666/714
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 1767/562,2666/714, numerators are 1767,2666
Denominators are 562,714
The GCF of 1767,2666 is 31 .
LCM of 562,714 is 200634.
The greatest common factor of 1767/562,2666/714 = [GCF of 1767,2666]/[LCM of 562,714]= 31/200634
Therefore, the GCF of 1767/562,2666/714 is 31/200634.
To find the highest common factor of 1767,2666, we have to find the factors of both numbers and list the highest common factor.
The factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767
The factors of 2666 are 1, 2, 31, 43, 62, 86, 1333, 2666
The HCF of 1767,2666 is 31.
Lets's calculate GCF of 1767,2666
| 31 | 1767, 2666 |
| 57, 86 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 1767,2666 By Matching Biggest Common Factor Method
Now, list down the factors of 1767
:1,3,19,31,57,93,589,1767
Now, list down the factors of 2666
:1,2,31,43,62,86,1333,2666
Greatest Common Factor
We found the factors 1767,2666 . The biggest common factor number is the GCF number.
So the greatest common factor 1767,2666 is 31.
Lets's calculate LCM of 562,714
| 2 | 562, 714 |
| 281, 357 |
∴ So the LCM of the given numbers is 2 x 281 x 357 = 200634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/200634
Therefore, the GCF of Fractions 1767/562,2666/714 is 31/200634
Least Common Multiple of 562,714 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 562,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,714) x common factors =2 x 1 = 2
LCM(562,714) = ( 562 × 714 ) / 2
LCM(562,714) = 401268 / 2
LCM(562,714) = 200634
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FAQs on GCF of Fractions of 1767/562, 2666/714
1. What is the HCF of 1767,2666?
The HCF of 1767,2666 is 31
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 1767/562, 2666/714?
Answer: GCF of Numerators as per given numbers 1767/562, 2666/714 is
GCF of Numerators i.e. for 1767,2666 is 31
LCM of denominators i.e. for 562,714 is 200634.
Thus, GCF of Fractions is 31/200634.Finally, GCF of Fractions for 1767/562, 2666/714 is 31/200634.