GCF of 8156/535, 3234/1121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8156/535, 3234/1121 i.e 2/599735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8156/535, 3234/1121.
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 8156/535,3234/1121?
Given fractions are 8156/535,3234/1121
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 8156/535,3234/1121, numerators are 8156,3234
Denominators are 535,1121
The GCF of 8156,3234 is 2 .
LCM of 535,1121 is 599735.
The greatest common factor of 8156/535,3234/1121 = [GCF of 8156,3234]/[LCM of 535,1121]= 2/599735
Therefore, the GCF of 8156/535,3234/1121 is 2/599735.
To find the highest common factor of 8156,3234, we have to find the factors of both numbers and list the highest common factor.
The factors of 8156 are 1, 2, 4, 2039, 4078, 8156
The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
The HCF of 8156,3234 is 2.
Lets's calculate GCF of 8156,3234
| 2 | 8156, 3234 |
| 4078, 1617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8156,3234 By Matching Biggest Common Factor Method
Now, list down the factors of 8156
:1,2,4,2039,4078,8156
Now, list down the factors of 3234
:1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234
Greatest Common Factor
We found the factors 8156,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 8156,3234 is 2.
Lets's calculate LCM of 535,1121
Given numbers has no common factors except 1. So, there LCM is their product i.e 599735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/599735
Therefore, the GCF of Fractions 8156/535,3234/1121 is 2/599735
Least Common Multiple of 535,1121 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 535,1121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,1121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,1121) x common factors =1 x 1 = 1
LCM(535,1121) = ( 535 × 1121 ) / 1
LCM(535,1121) = 599735 / 1
LCM(535,1121) = 599735
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FAQs on GCF of Fractions of 8156/535, 3234/1121
1. What is the HCF of 8156,3234?
The HCF of 8156,3234 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 8156/535, 3234/1121?
Answer: GCF of Numerators as per given numbers 8156/535, 3234/1121 is
GCF of Numerators i.e. for 8156,3234 is 2
LCM of denominators i.e. for 535,1121 is 599735.
Thus, GCF of Fractions is 2/599735.Finally, GCF of Fractions for 8156/535, 3234/1121 is 2/599735.