GCF of 3298/544, 2176/5570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3298/544, 2176/5570 i.e 34/1515040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3298/544, 2176/5570.
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 3298/544,2176/5570?
Given fractions are 3298/544,2176/5570
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 3298/544,2176/5570, numerators are 3298,2176
Denominators are 544,5570
The GCF of 3298,2176 is 34 .
LCM of 544,5570 is 1515040.
The greatest common factor of 3298/544,2176/5570 = [GCF of 3298,2176]/[LCM of 544,5570]= 34/1515040
Therefore, the GCF of 3298/544,2176/5570 is 34/1515040.
To find the highest common factor of 3298,2176, we have to find the factors of both numbers and list the highest common factor.
The factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The HCF of 3298,2176 is 34.
Lets's calculate GCF of 3298,2176
| 2 | 3298, 2176 |
| 17 | 1649, 1088 |
| 97, 64 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 3298,2176 By Matching Biggest Common Factor Method
Now, list down the factors of 3298
:1,2,17,34,97,194,1649,3298
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 3298,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 3298,2176 is 34.
Lets's calculate LCM of 544,5570
| 2 | 544, 5570 |
| 272, 2785 |
∴ So the LCM of the given numbers is 2 x 272 x 2785 = 1515040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1515040
Therefore, the GCF of Fractions 3298/544,2176/5570 is 34/1515040
Least Common Multiple of 544,5570 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 544,5570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,5570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,5570) x common factors =2 x 1 = 2
LCM(544,5570) = ( 544 × 5570 ) / 2
LCM(544,5570) = 3030080 / 2
LCM(544,5570) = 1515040
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FAQs on GCF of Fractions of 3298/544, 2176/5570
1. What is the HCF of 3298,2176?
The HCF of 3298,2176 is 34
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 3298/544, 2176/5570?
Answer: GCF of Numerators as per given numbers 3298/544, 2176/5570 is
GCF of Numerators i.e. for 3298,2176 is 34
LCM of denominators i.e. for 544,5570 is 1515040.
Thus, GCF of Fractions is 34/1515040.Finally, GCF of Fractions for 3298/544, 2176/5570 is 34/1515040.