GCF of 3374/697, 3408/7913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3374/697, 3408/7913 i.e 2/134521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3374/697, 3408/7913.
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 3374/697,3408/7913?
Given fractions are 3374/697,3408/7913
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 3374/697,3408/7913, numerators are 3374,3408
Denominators are 697,7913
The GCF of 3374,3408 is 2 .
LCM of 697,7913 is 134521.
The greatest common factor of 3374/697,3408/7913 = [GCF of 3374,3408]/[LCM of 697,7913]= 2/134521
Therefore, the GCF of 3374/697,3408/7913 is 2/134521.
To find the highest common factor of 3374,3408, we have to find the factors of both numbers and list the highest common factor.
The factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374
The factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408
The HCF of 3374,3408 is 2.
Lets's calculate GCF of 3374,3408
| 2 | 3374, 3408 |
| 1687, 1704 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3374,3408 By Matching Biggest Common Factor Method
Now, list down the factors of 3374
:1,2,7,14,241,482,1687,3374
Now, list down the factors of 3408
:1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408
Greatest Common Factor
We found the factors 3374,3408 . The biggest common factor number is the GCF number.
So the greatest common factor 3374,3408 is 2.
Lets's calculate LCM of 697,7913
| 41 | 697, 7913 |
| 17, 193 |
∴ So the LCM of the given numbers is 41 x 17 x 193 = 134521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134521
Therefore, the GCF of Fractions 3374/697,3408/7913 is 2/134521
Least Common Multiple of 697,7913 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 697,7913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,7913) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(697,7913) x common factors =41 x 1 = 41
LCM(697,7913) = ( 697 × 7913 ) / 41
LCM(697,7913) = 5515361 / 41
LCM(697,7913) = 134521
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FAQs on GCF of Fractions of 3374/697, 3408/7913
1. What is the HCF of 3374,3408?
The HCF of 3374,3408 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 3374/697, 3408/7913?
Answer: GCF of Numerators as per given numbers 3374/697, 3408/7913 is
GCF of Numerators i.e. for 3374,3408 is 2
LCM of denominators i.e. for 697,7913 is 134521.
Thus, GCF of Fractions is 2/134521.Finally, GCF of Fractions for 3374/697, 3408/7913 is 2/134521.