GCF of 3435/893, 3675/7886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3435/893, 3675/7886 i.e 15/7042198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3435/893, 3675/7886.
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 3435/893,3675/7886?
Given fractions are 3435/893,3675/7886
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 3435/893,3675/7886, numerators are 3435,3675
Denominators are 893,7886
The GCF of 3435,3675 is 15 .
LCM of 893,7886 is 7042198.
The greatest common factor of 3435/893,3675/7886 = [GCF of 3435,3675]/[LCM of 893,7886]= 15/7042198
Therefore, the GCF of 3435/893,3675/7886 is 15/7042198.
To find the highest common factor of 3435,3675, we have to find the factors of both numbers and list the highest common factor.
The factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435
The factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675
The HCF of 3435,3675 is 15.
Lets's calculate GCF of 3435,3675
| 3 | 3435, 3675 |
| 5 | 1145, 1225 |
| 229, 245 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3435,3675 By Matching Biggest Common Factor Method
Now, list down the factors of 3435
:1,3,5,15,229,687,1145,3435
Now, list down the factors of 3675
:1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675
Greatest Common Factor
We found the factors 3435,3675 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,3675 is 15.
Lets's calculate LCM of 893,7886
Given numbers has no common factors except 1. So, there LCM is their product i.e 7042198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/7042198
Therefore, the GCF of Fractions 3435/893,3675/7886 is 15/7042198
Least Common Multiple of 893,7886 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 893,7886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,7886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,7886) x common factors =1 x 1 = 1
LCM(893,7886) = ( 893 × 7886 ) / 1
LCM(893,7886) = 7042198 / 1
LCM(893,7886) = 7042198
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FAQs on GCF of Fractions of 3435/893, 3675/7886
1. What is the HCF of 3435,3675?
The HCF of 3435,3675 is 15
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 3435/893, 3675/7886?
Answer: GCF of Numerators as per given numbers 3435/893, 3675/7886 is
GCF of Numerators i.e. for 3435,3675 is 15
LCM of denominators i.e. for 893,7886 is 7042198.
Thus, GCF of Fractions is 15/7042198.Finally, GCF of Fractions for 3435/893, 3675/7886 is 15/7042198.