GCF of 3382/682, 6870/1507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3382/682, 6870/1507 i.e 2/93434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3382/682, 6870/1507.
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 3382/682,6870/1507?
Given fractions are 3382/682,6870/1507
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 3382/682,6870/1507, numerators are 3382,6870
Denominators are 682,1507
The GCF of 3382,6870 is 2 .
LCM of 682,1507 is 93434.
The greatest common factor of 3382/682,6870/1507 = [GCF of 3382,6870]/[LCM of 682,1507]= 2/93434
Therefore, the GCF of 3382/682,6870/1507 is 2/93434.
To find the highest common factor of 3382,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 3382 are 1, 2, 19, 38, 89, 178, 1691, 3382
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 3382,6870 is 2.
Lets's calculate GCF of 3382,6870
| 2 | 3382, 6870 |
| 1691, 3435 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3382,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 3382
:1,2,19,38,89,178,1691,3382
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 3382,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 3382,6870 is 2.
Lets's calculate LCM of 682,1507
| 11 | 682, 1507 |
| 62, 137 |
∴ So the LCM of the given numbers is 11 x 62 x 137 = 93434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93434
Therefore, the GCF of Fractions 3382/682,6870/1507 is 2/93434
Least Common Multiple of 682,1507 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 682,1507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,1507) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(682,1507) x common factors =11 x 1 = 11
LCM(682,1507) = ( 682 × 1507 ) / 11
LCM(682,1507) = 1027774 / 11
LCM(682,1507) = 93434
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FAQs on GCF of Fractions of 3382/682, 6870/1507
1. What is the HCF of 3382,6870?
The HCF of 3382,6870 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 3382/682, 6870/1507?
Answer: GCF of Numerators as per given numbers 3382/682, 6870/1507 is
GCF of Numerators i.e. for 3382,6870 is 2
LCM of denominators i.e. for 682,1507 is 93434.
Thus, GCF of Fractions is 2/93434.Finally, GCF of Fractions for 3382/682, 6870/1507 is 2/93434.