GCF of 3574/538, 6966/7604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3574/538, 6966/7604 i.e 2/2045476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3574/538, 6966/7604.
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 3574/538,6966/7604?
Given fractions are 3574/538,6966/7604
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 3574/538,6966/7604, numerators are 3574,6966
Denominators are 538,7604
The GCF of 3574,6966 is 2 .
LCM of 538,7604 is 2045476.
The greatest common factor of 3574/538,6966/7604 = [GCF of 3574,6966]/[LCM of 538,7604]= 2/2045476
Therefore, the GCF of 3574/538,6966/7604 is 2/2045476.
To find the highest common factor of 3574,6966, we have to find the factors of both numbers and list the highest common factor.
The factors of 3574 are 1, 2, 1787, 3574
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The HCF of 3574,6966 is 2.
Lets's calculate GCF of 3574,6966
| 2 | 3574, 6966 |
| 1787, 3483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3574,6966 By Matching Biggest Common Factor Method
Now, list down the factors of 3574
:1,2,1787,3574
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 3574,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 3574,6966 is 2.
Lets's calculate LCM of 538,7604
| 2 | 538, 7604 |
| 269, 3802 |
∴ So the LCM of the given numbers is 2 x 269 x 3802 = 2045476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2045476
Therefore, the GCF of Fractions 3574/538,6966/7604 is 2/2045476
Least Common Multiple of 538,7604 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 538,7604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,7604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,7604) x common factors =2 x 1 = 2
LCM(538,7604) = ( 538 × 7604 ) / 2
LCM(538,7604) = 4090952 / 2
LCM(538,7604) = 2045476
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FAQs on GCF of Fractions of 3574/538, 6966/7604
1. What is the HCF of 3574,6966?
The HCF of 3574,6966 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 3574/538, 6966/7604?
Answer: GCF of Numerators as per given numbers 3574/538, 6966/7604 is
GCF of Numerators i.e. for 3574,6966 is 2
LCM of denominators i.e. for 538,7604 is 2045476.
Thus, GCF of Fractions is 2/2045476.Finally, GCF of Fractions for 3574/538, 6966/7604 is 2/2045476.