GCF of 3472/429, 2803/5137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3472/429, 2803/5137 i.e 1/200343 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3472/429, 2803/5137.
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 3472/429,2803/5137?
Given fractions are 3472/429,2803/5137
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 3472/429,2803/5137, numerators are 3472,2803
Denominators are 429,5137
The GCF of 3472,2803 is 1 .
LCM of 429,5137 is 200343.
The greatest common factor of 3472/429,2803/5137 = [GCF of 3472,2803]/[LCM of 429,5137]= 1/200343
Therefore, the GCF of 3472/429,2803/5137 is 1/200343.
To find the highest common factor of 3472,2803, we have to find the factors of both numbers and list the highest common factor.
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472
The factors of 2803 are 1, 2803
The HCF of 3472,2803 is 1.
Lets's calculate GCF of 3472,2803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3472,2803 By Matching Biggest Common Factor Method
Now, list down the factors of 3472
:1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Now, list down the factors of 2803
:1,2803
Greatest Common Factor
We found the factors 3472,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 3472,2803 is 1.
Lets's calculate LCM of 429,5137
| 11 | 429, 5137 |
| 39, 467 |
∴ So the LCM of the given numbers is 11 x 39 x 467 = 200343
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200343
Therefore, the GCF of Fractions 3472/429,2803/5137 is 1/200343
Least Common Multiple of 429,5137 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 429,5137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,5137) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(429,5137) x common factors =11 x 1 = 11
LCM(429,5137) = ( 429 × 5137 ) / 11
LCM(429,5137) = 2203773 / 11
LCM(429,5137) = 200343
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FAQs on GCF of Fractions of 3472/429, 2803/5137
1. What is the HCF of 3472,2803?
The HCF of 3472,2803 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 3472/429, 2803/5137?
Answer: GCF of Numerators as per given numbers 3472/429, 2803/5137 is
GCF of Numerators i.e. for 3472,2803 is 1
LCM of denominators i.e. for 429,5137 is 200343.
Thus, GCF of Fractions is 1/200343.Finally, GCF of Fractions for 3472/429, 2803/5137 is 1/200343.