GCF of 5408/493, 3776/119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5408/493, 3776/119 i.e 32/3451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5408/493, 3776/119.
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 5408/493,3776/119?
Given fractions are 5408/493,3776/119
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 5408/493,3776/119, numerators are 5408,3776
Denominators are 493,119
The GCF of 5408,3776 is 32 .
LCM of 493,119 is 3451.
The greatest common factor of 5408/493,3776/119 = [GCF of 5408,3776]/[LCM of 493,119]= 32/3451
Therefore, the GCF of 5408/493,3776/119 is 32/3451.
To find the highest common factor of 5408,3776, we have to find the factors of both numbers and list the highest common factor.
The factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408
The factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776
The HCF of 5408,3776 is 32.
Lets's calculate GCF of 5408,3776
| 2 | 5408, 3776 |
| 2 | 2704, 1888 |
| 2 | 1352, 944 |
| 2 | 676, 472 |
| 2 | 338, 236 |
| 169, 118 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 5408,3776 By Matching Biggest Common Factor Method
Now, list down the factors of 5408
:1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408
Now, list down the factors of 3776
:1,2,4,8,16,32,59,64,118,236,472,944,1888,3776
Greatest Common Factor
We found the factors 5408,3776 . The biggest common factor number is the GCF number.
So the greatest common factor 5408,3776 is 32.
Lets's calculate LCM of 493,119
| 17 | 493, 119 |
| 29, 7 |
∴ So the LCM of the given numbers is 17 x 29 x 7 = 3451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/3451
Therefore, the GCF of Fractions 5408/493,3776/119 is 32/3451
Least Common Multiple of 493,119 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 493,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,119) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(493,119) x common factors =17 x 1 = 17
LCM(493,119) = ( 493 × 119 ) / 17
LCM(493,119) = 58667 / 17
LCM(493,119) = 3451
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FAQs on GCF of Fractions of 5408/493, 3776/119
1. What is the HCF of 5408,3776?
The HCF of 5408,3776 is 32
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 5408/493, 3776/119?
Answer: GCF of Numerators as per given numbers 5408/493, 3776/119 is
GCF of Numerators i.e. for 5408,3776 is 32
LCM of denominators i.e. for 493,119 is 3451.
Thus, GCF of Fractions is 32/3451.Finally, GCF of Fractions for 5408/493, 3776/119 is 32/3451.