GCF of 3496/261, 6478/5638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3496/261, 6478/5638 i.e 2/1471518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3496/261, 6478/5638.
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 3496/261,6478/5638?
Given fractions are 3496/261,6478/5638
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 3496/261,6478/5638, numerators are 3496,6478
Denominators are 261,5638
The GCF of 3496,6478 is 2 .
LCM of 261,5638 is 1471518.
The greatest common factor of 3496/261,6478/5638 = [GCF of 3496,6478]/[LCM of 261,5638]= 2/1471518
Therefore, the GCF of 3496/261,6478/5638 is 2/1471518.
To find the highest common factor of 3496,6478, we have to find the factors of both numbers and list the highest common factor.
The factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496
The factors of 6478 are 1, 2, 41, 79, 82, 158, 3239, 6478
The HCF of 3496,6478 is 2.
Lets's calculate GCF of 3496,6478
| 2 | 3496, 6478 |
| 1748, 3239 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3496,6478 By Matching Biggest Common Factor Method
Now, list down the factors of 3496
:1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496
Now, list down the factors of 6478
:1,2,41,79,82,158,3239,6478
Greatest Common Factor
We found the factors 3496,6478 . The biggest common factor number is the GCF number.
So the greatest common factor 3496,6478 is 2.
Lets's calculate LCM of 261,5638
Given numbers has no common factors except 1. So, there LCM is their product i.e 1471518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1471518
Therefore, the GCF of Fractions 3496/261,6478/5638 is 2/1471518
Least Common Multiple of 261,5638 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 261,5638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,5638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,5638) x common factors =1 x 1 = 1
LCM(261,5638) = ( 261 × 5638 ) / 1
LCM(261,5638) = 1471518 / 1
LCM(261,5638) = 1471518
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FAQs on GCF of Fractions of 3496/261, 6478/5638
1. What is the HCF of 3496,6478?
The HCF of 3496,6478 is 2
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 3496/261, 6478/5638?
Answer: GCF of Numerators as per given numbers 3496/261, 6478/5638 is
GCF of Numerators i.e. for 3496,6478 is 2
LCM of denominators i.e. for 261,5638 is 1471518.
Thus, GCF of Fractions is 2/1471518.Finally, GCF of Fractions for 3496/261, 6478/5638 is 2/1471518.