GCF of 5656/751, 8932/8027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5656/751, 8932/8027 i.e 28/6028277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5656/751, 8932/8027.
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 5656/751,8932/8027?
Given fractions are 5656/751,8932/8027
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 5656/751,8932/8027, numerators are 5656,8932
Denominators are 751,8027
The GCF of 5656,8932 is 28 .
LCM of 751,8027 is 6028277.
The greatest common factor of 5656/751,8932/8027 = [GCF of 5656,8932]/[LCM of 751,8027]= 28/6028277
Therefore, the GCF of 5656/751,8932/8027 is 28/6028277.
To find the highest common factor of 5656,8932, 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 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932
The HCF of 5656,8932 is 28.
Lets's calculate GCF of 5656,8932
| 2 | 5656, 8932 |
| 2 | 2828, 4466 |
| 7 | 1414, 2233 |
| 202, 319 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 5656,8932 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 8932
:1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932
Greatest Common Factor
We found the factors 5656,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,8932 is 28.
Lets's calculate LCM of 751,8027
Given numbers has no common factors except 1. So, there LCM is their product i.e 6028277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/6028277
Therefore, the GCF of Fractions 5656/751,8932/8027 is 28/6028277
Least Common Multiple of 751,8027 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 751,8027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,8027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,8027) x common factors =1 x 1 = 1
LCM(751,8027) = ( 751 × 8027 ) / 1
LCM(751,8027) = 6028277 / 1
LCM(751,8027) = 6028277
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FAQs on GCF of Fractions of 5656/751, 8932/8027
1. What is the HCF of 5656,8932?
The HCF of 5656,8932 is 28
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 5656/751, 8932/8027?
Answer: GCF of Numerators as per given numbers 5656/751, 8932/8027 is
GCF of Numerators i.e. for 5656,8932 is 28
LCM of denominators i.e. for 751,8027 is 6028277.
Thus, GCF of Fractions is 28/6028277.Finally, GCF of Fractions for 5656/751, 8932/8027 is 28/6028277.