GCF of 3368/171, 1710/7785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3368/171, 1710/7785 i.e 2/147915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3368/171, 1710/7785.
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 3368/171,1710/7785?
Given fractions are 3368/171,1710/7785
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 3368/171,1710/7785, numerators are 3368,1710
Denominators are 171,7785
The GCF of 3368,1710 is 2 .
LCM of 171,7785 is 147915.
The greatest common factor of 3368/171,1710/7785 = [GCF of 3368,1710]/[LCM of 171,7785]= 2/147915
Therefore, the GCF of 3368/171,1710/7785 is 2/147915.
To find the highest common factor of 3368,1710, we have to find the factors of both numbers and list the highest common factor.
The factors of 3368 are 1, 2, 4, 8, 421, 842, 1684, 3368
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The HCF of 3368,1710 is 2.
Lets's calculate GCF of 3368,1710
| 2 | 3368, 1710 |
| 1684, 855 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3368,1710 By Matching Biggest Common Factor Method
Now, list down the factors of 3368
:1,2,4,8,421,842,1684,3368
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 3368,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 3368,1710 is 2.
Lets's calculate LCM of 171,7785
| 3 | 171, 7785 |
| 3 | 57, 2595 |
| 19, 865 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 865 = 147915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147915
Therefore, the GCF of Fractions 3368/171,1710/7785 is 2/147915
Least Common Multiple of 171,7785 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 171,7785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,7785) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(171,7785) x common factors =9 x 1 = 9
LCM(171,7785) = ( 171 × 7785 ) / 9
LCM(171,7785) = 1331235 / 9
LCM(171,7785) = 147915
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FAQs on GCF of Fractions of 3368/171, 1710/7785
1. What is the HCF of 3368,1710?
The HCF of 3368,1710 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 3368/171, 1710/7785?
Answer: GCF of Numerators as per given numbers 3368/171, 1710/7785 is
GCF of Numerators i.e. for 3368,1710 is 2
LCM of denominators i.e. for 171,7785 is 147915.
Thus, GCF of Fractions is 2/147915.Finally, GCF of Fractions for 3368/171, 1710/7785 is 2/147915.