GCF of 2176/273, 7556/4069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2176/273, 7556/4069 i.e 4/85449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2176/273, 7556/4069.
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 2176/273,7556/4069?
Given fractions are 2176/273,7556/4069
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 2176/273,7556/4069, numerators are 2176,7556
Denominators are 273,4069
The GCF of 2176,7556 is 4 .
LCM of 273,4069 is 85449.
The greatest common factor of 2176/273,7556/4069 = [GCF of 2176,7556]/[LCM of 273,4069]= 4/85449
Therefore, the GCF of 2176/273,7556/4069 is 4/85449.
To find the highest common factor of 2176,7556, we have to find the factors of both numbers and list the highest common factor.
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The factors of 7556 are 1, 2, 4, 1889, 3778, 7556
The HCF of 2176,7556 is 4.
Lets's calculate GCF of 2176,7556
| 2 | 2176, 7556 |
| 2 | 1088, 3778 |
| 544, 1889 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2176,7556 By Matching Biggest Common Factor Method
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Now, list down the factors of 7556
:1,2,4,1889,3778,7556
Greatest Common Factor
We found the factors 2176,7556 . The biggest common factor number is the GCF number.
So the greatest common factor 2176,7556 is 4.
Lets's calculate LCM of 273,4069
| 13 | 273, 4069 |
| 21, 313 |
∴ So the LCM of the given numbers is 13 x 21 x 313 = 85449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/85449
Therefore, the GCF of Fractions 2176/273,7556/4069 is 4/85449
Least Common Multiple of 273,4069 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 273,4069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,4069) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(273,4069) x common factors =13 x 1 = 13
LCM(273,4069) = ( 273 × 4069 ) / 13
LCM(273,4069) = 1110837 / 13
LCM(273,4069) = 85449
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FAQs on GCF of Fractions of 2176/273, 7556/4069
1. What is the HCF of 2176,7556?
The HCF of 2176,7556 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 2176/273, 7556/4069?
Answer: GCF of Numerators as per given numbers 2176/273, 7556/4069 is
GCF of Numerators i.e. for 2176,7556 is 4
LCM of denominators i.e. for 273,4069 is 85449.
Thus, GCF of Fractions is 4/85449.Finally, GCF of Fractions for 2176/273, 7556/4069 is 4/85449.