GCF of 3494/824, 1614/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3494/824, 1614/746 i.e 2/307352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3494/824, 1614/746.
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 3494/824,1614/746?
Given fractions are 3494/824,1614/746
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 3494/824,1614/746, numerators are 3494,1614
Denominators are 824,746
The GCF of 3494,1614 is 2 .
LCM of 824,746 is 307352.
The greatest common factor of 3494/824,1614/746 = [GCF of 3494,1614]/[LCM of 824,746]= 2/307352
Therefore, the GCF of 3494/824,1614/746 is 2/307352.
To find the highest common factor of 3494,1614, we have to find the factors of both numbers and list the highest common factor.
The factors of 3494 are 1, 2, 1747, 3494
The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614
The HCF of 3494,1614 is 2.
Lets's calculate GCF of 3494,1614
| 2 | 3494, 1614 |
| 1747, 807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3494,1614 By Matching Biggest Common Factor Method
Now, list down the factors of 3494
:1,2,1747,3494
Now, list down the factors of 1614
:1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors 3494,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 3494,1614 is 2.
Lets's calculate LCM of 824,746
| 2 | 824, 746 |
| 412, 373 |
∴ So the LCM of the given numbers is 2 x 412 x 373 = 307352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/307352
Therefore, the GCF of Fractions 3494/824,1614/746 is 2/307352
Least Common Multiple of 824,746 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 824,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,746) x common factors =2 x 1 = 2
LCM(824,746) = ( 824 × 746 ) / 2
LCM(824,746) = 614704 / 2
LCM(824,746) = 307352
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FAQs on GCF of Fractions of 3494/824, 1614/746
1. What is the HCF of 3494,1614?
The HCF of 3494,1614 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 3494/824, 1614/746?
Answer: GCF of Numerators as per given numbers 3494/824, 1614/746 is
GCF of Numerators i.e. for 3494,1614 is 2
LCM of denominators i.e. for 824,746 is 307352.
Thus, GCF of Fractions is 2/307352.Finally, GCF of Fractions for 3494/824, 1614/746 is 2/307352.