GCF of 5656/185, 4338/5521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5656/185, 4338/5521 i.e 2/1021385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5656/185, 4338/5521.
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 5656/185,4338/5521?
Given fractions are 5656/185,4338/5521
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 5656/185,4338/5521, numerators are 5656,4338
Denominators are 185,5521
The GCF of 5656,4338 is 2 .
LCM of 185,5521 is 1021385.
The greatest common factor of 5656/185,4338/5521 = [GCF of 5656,4338]/[LCM of 185,5521]= 2/1021385
Therefore, the GCF of 5656/185,4338/5521 is 2/1021385.
To find the highest common factor of 5656,4338, we have to find the factors of both numbers and list the highest common factor.
The factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656
The factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338
The HCF of 5656,4338 is 2.
Lets's calculate GCF of 5656,4338
| 2 | 5656, 4338 |
| 2828, 2169 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5656,4338 By Matching Biggest Common Factor Method
Now, list down the factors of 5656
:1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656
Now, list down the factors of 4338
:1,2,3,6,9,18,241,482,723,1446,2169,4338
Greatest Common Factor
We found the factors 5656,4338 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,4338 is 2.
Lets's calculate LCM of 185,5521
Given numbers has no common factors except 1. So, there LCM is their product i.e 1021385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1021385
Therefore, the GCF of Fractions 5656/185,4338/5521 is 2/1021385
Least Common Multiple of 185,5521 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 185,5521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,5521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,5521) x common factors =1 x 1 = 1
LCM(185,5521) = ( 185 × 5521 ) / 1
LCM(185,5521) = 1021385 / 1
LCM(185,5521) = 1021385
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FAQs on GCF of Fractions of 5656/185, 4338/5521
1. What is the HCF of 5656,4338?
The HCF of 5656,4338 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 5656/185, 4338/5521?
Answer: GCF of Numerators as per given numbers 5656/185, 4338/5521 is
GCF of Numerators i.e. for 5656,4338 is 2
LCM of denominators i.e. for 185,5521 is 1021385.
Thus, GCF of Fractions is 2/1021385.Finally, GCF of Fractions for 5656/185, 4338/5521 is 2/1021385.