GCF of 3139/892, 3366/352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3139/892, 3366/352 i.e 1/78496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3139/892, 3366/352.
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 3139/892,3366/352?
Given fractions are 3139/892,3366/352
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 3139/892,3366/352, numerators are 3139,3366
Denominators are 892,352
The GCF of 3139,3366 is 1 .
LCM of 892,352 is 78496.
The greatest common factor of 3139/892,3366/352 = [GCF of 3139,3366]/[LCM of 892,352]= 1/78496
Therefore, the GCF of 3139/892,3366/352 is 1/78496.
To find the highest common factor of 3139,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 3139 are 1, 43, 73, 3139
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The HCF of 3139,3366 is 1.
Lets's calculate GCF of 3139,3366
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3139,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 3139
:1,43,73,3139
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 3139,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 3139,3366 is 1.
Lets's calculate LCM of 892,352
| 2 | 892, 352 |
| 2 | 446, 176 |
| 223, 88 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 88 = 78496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78496
Therefore, the GCF of Fractions 3139/892,3366/352 is 1/78496
Least Common Multiple of 892,352 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 892,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,352) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,352) x common factors =4 x 1 = 4
LCM(892,352) = ( 892 × 352 ) / 4
LCM(892,352) = 313984 / 4
LCM(892,352) = 78496
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FAQs on GCF of Fractions of 3139/892, 3366/352
1. What is the HCF of 3139,3366?
The HCF of 3139,3366 is 1
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 3139/892, 3366/352?
Answer: GCF of Numerators as per given numbers 3139/892, 3366/352 is
GCF of Numerators i.e. for 3139,3366 is 1
LCM of denominators i.e. for 892,352 is 78496.
Thus, GCF of Fractions is 1/78496.Finally, GCF of Fractions for 3139/892, 3366/352 is 1/78496.