GCF of 1707/395, 3522/2705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1707/395, 3522/2705 i.e 3/213695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1707/395, 3522/2705.
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 1707/395,3522/2705?
Given fractions are 1707/395,3522/2705
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 1707/395,3522/2705, numerators are 1707,3522
Denominators are 395,2705
The GCF of 1707,3522 is 3 .
LCM of 395,2705 is 213695.
The greatest common factor of 1707/395,3522/2705 = [GCF of 1707,3522]/[LCM of 395,2705]= 3/213695
Therefore, the GCF of 1707/395,3522/2705 is 3/213695.
To find the highest common factor of 1707,3522, we have to find the factors of both numbers and list the highest common factor.
The factors of 1707 are 1, 3, 569, 1707
The factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522
The HCF of 1707,3522 is 3.
Lets's calculate GCF of 1707,3522
| 3 | 1707, 3522 |
| 569, 1174 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1707,3522 By Matching Biggest Common Factor Method
Now, list down the factors of 1707
:1,3,569,1707
Now, list down the factors of 3522
:1,2,3,6,587,1174,1761,3522
Greatest Common Factor
We found the factors 1707,3522 . The biggest common factor number is the GCF number.
So the greatest common factor 1707,3522 is 3.
Lets's calculate LCM of 395,2705
| 5 | 395, 2705 |
| 79, 541 |
∴ So the LCM of the given numbers is 5 x 79 x 541 = 213695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/213695
Therefore, the GCF of Fractions 1707/395,3522/2705 is 3/213695
Least Common Multiple of 395,2705 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 395,2705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,2705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(395,2705) x common factors =5 x 1 = 5
LCM(395,2705) = ( 395 × 2705 ) / 5
LCM(395,2705) = 1068475 / 5
LCM(395,2705) = 213695
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FAQs on GCF of Fractions of 1707/395, 3522/2705
1. What is the HCF of 1707,3522?
The HCF of 1707,3522 is 3
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 1707/395, 3522/2705?
Answer: GCF of Numerators as per given numbers 1707/395, 3522/2705 is
GCF of Numerators i.e. for 1707,3522 is 3
LCM of denominators i.e. for 395,2705 is 213695.
Thus, GCF of Fractions is 3/213695.Finally, GCF of Fractions for 1707/395, 3522/2705 is 3/213695.