GCF of 279/53, 156/196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 279/53, 156/196 i.e 3/10388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 279/53, 156/196.
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 279/53,156/196?
Given fractions are 279/53,156/196
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 279/53,156/196, numerators are 279,156
Denominators are 53,196
The GCF of 279,156 is 3 .
LCM of 53,196 is 10388.
The greatest common factor of 279/53,156/196 = [GCF of 279,156]/[LCM of 53,196]= 3/10388
Therefore, the GCF of 279/53,156/196 is 3/10388.
To find the highest common factor of 279,156, we have to find the factors of both numbers and list the highest common factor.
The factors of 279 are 1, 3, 9, 31, 93, 279
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The HCF of 279,156 is 3.
Lets's calculate GCF of 279,156
| 3 | 279, 156 |
| 93, 52 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 279,156 By Matching Biggest Common Factor Method
Now, list down the factors of 279
:1,3,9,31,93,279
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 279,156 . The biggest common factor number is the GCF number.
So the greatest common factor 279,156 is 3.
Lets's calculate LCM of 53,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 10388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10388
Therefore, the GCF of Fractions 279/53,156/196 is 3/10388
Least Common Multiple of 53,196 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 53,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,196) x common factors =1 x 1 = 1
LCM(53,196) = ( 53 × 196 ) / 1
LCM(53,196) = 10388 / 1
LCM(53,196) = 10388
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FAQs on GCF of Fractions of 279/53, 156/196
1. What is the HCF of 279,156?
The HCF of 279,156 is 3
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 279/53, 156/196?
Answer: GCF of Numerators as per given numbers 279/53, 156/196 is
GCF of Numerators i.e. for 279,156 is 3
LCM of denominators i.e. for 53,196 is 10388.
Thus, GCF of Fractions is 3/10388.Finally, GCF of Fractions for 279/53, 156/196 is 3/10388.