GCF of 3488/674, 1540/3402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3488/674, 1540/3402 i.e 4/1146474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3488/674, 1540/3402.
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 3488/674,1540/3402?
Given fractions are 3488/674,1540/3402
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 3488/674,1540/3402, numerators are 3488,1540
Denominators are 674,3402
The GCF of 3488,1540 is 4 .
LCM of 674,3402 is 1146474.
The greatest common factor of 3488/674,1540/3402 = [GCF of 3488,1540]/[LCM of 674,3402]= 4/1146474
Therefore, the GCF of 3488/674,1540/3402 is 4/1146474.
To find the highest common factor of 3488,1540, we have to find the factors of both numbers and list the highest common factor.
The factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488
The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
The HCF of 3488,1540 is 4.
Lets's calculate GCF of 3488,1540
| 2 | 3488, 1540 |
| 2 | 1744, 770 |
| 872, 385 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3488,1540 By Matching Biggest Common Factor Method
Now, list down the factors of 3488
:1,2,4,8,16,32,109,218,436,872,1744,3488
Now, list down the factors of 1540
:1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540
Greatest Common Factor
We found the factors 3488,1540 . The biggest common factor number is the GCF number.
So the greatest common factor 3488,1540 is 4.
Lets's calculate LCM of 674,3402
| 2 | 674, 3402 |
| 337, 1701 |
∴ So the LCM of the given numbers is 2 x 337 x 1701 = 1146474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1146474
Therefore, the GCF of Fractions 3488/674,1540/3402 is 4/1146474
Least Common Multiple of 674,3402 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 674,3402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,3402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,3402) x common factors =2 x 1 = 2
LCM(674,3402) = ( 674 × 3402 ) / 2
LCM(674,3402) = 2292948 / 2
LCM(674,3402) = 1146474
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FAQs on GCF of Fractions of 3488/674, 1540/3402
1. What is the HCF of 3488,1540?
The HCF of 3488,1540 is 4
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 3488/674, 1540/3402?
Answer: GCF of Numerators as per given numbers 3488/674, 1540/3402 is
GCF of Numerators i.e. for 3488,1540 is 4
LCM of denominators i.e. for 674,3402 is 1146474.
Thus, GCF of Fractions is 4/1146474.Finally, GCF of Fractions for 3488/674, 1540/3402 is 4/1146474.