GCF of 2156/236, 6572/803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2156/236, 6572/803 i.e 4/189508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2156/236, 6572/803.
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 2156/236,6572/803?
Given fractions are 2156/236,6572/803
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 2156/236,6572/803, numerators are 2156,6572
Denominators are 236,803
The GCF of 2156,6572 is 4 .
LCM of 236,803 is 189508.
The greatest common factor of 2156/236,6572/803 = [GCF of 2156,6572]/[LCM of 236,803]= 4/189508
Therefore, the GCF of 2156/236,6572/803 is 4/189508.
To find the highest common factor of 2156,6572, we have to find the factors of both numbers and list the highest common factor.
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The HCF of 2156,6572 is 4.
Lets's calculate GCF of 2156,6572
| 2 | 2156, 6572 |
| 2 | 1078, 3286 |
| 539, 1643 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2156,6572 By Matching Biggest Common Factor Method
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Greatest Common Factor
We found the factors 2156,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 2156,6572 is 4.
Lets's calculate LCM of 236,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 189508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/189508
Therefore, the GCF of Fractions 2156/236,6572/803 is 4/189508
Least Common Multiple of 236,803 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 236,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,803) x common factors =1 x 1 = 1
LCM(236,803) = ( 236 × 803 ) / 1
LCM(236,803) = 189508 / 1
LCM(236,803) = 189508
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FAQs on GCF of Fractions of 2156/236, 6572/803
1. What is the HCF of 2156,6572?
The HCF of 2156,6572 is 4
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 2156/236, 6572/803?
Answer: GCF of Numerators as per given numbers 2156/236, 6572/803 is
GCF of Numerators i.e. for 2156,6572 is 4
LCM of denominators i.e. for 236,803 is 189508.
Thus, GCF of Fractions is 4/189508.Finally, GCF of Fractions for 2156/236, 6572/803 is 4/189508.