GCF of 1246/121, 2156/1575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1246/121, 2156/1575 i.e 14/190575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1246/121, 2156/1575.
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 1246/121,2156/1575?
Given fractions are 1246/121,2156/1575
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 1246/121,2156/1575, numerators are 1246,2156
Denominators are 121,1575
The GCF of 1246,2156 is 14 .
LCM of 121,1575 is 190575.
The greatest common factor of 1246/121,2156/1575 = [GCF of 1246,2156]/[LCM of 121,1575]= 14/190575
Therefore, the GCF of 1246/121,2156/1575 is 14/190575.
To find the highest common factor of 1246,2156, we have to find the factors of both numbers and list the highest common factor.
The factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The HCF of 1246,2156 is 14.
Lets's calculate GCF of 1246,2156
| 2 | 1246, 2156 |
| 7 | 623, 1078 |
| 89, 154 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1246,2156 By Matching Biggest Common Factor Method
Now, list down the factors of 1246
:1,2,7,14,89,178,623,1246
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
Greatest Common Factor
We found the factors 1246,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 1246,2156 is 14.
Lets's calculate LCM of 121,1575
Given numbers has no common factors except 1. So, there LCM is their product i.e 190575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/190575
Therefore, the GCF of Fractions 1246/121,2156/1575 is 14/190575
Least Common Multiple of 121,1575 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 121,1575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,1575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,1575) x common factors =1 x 1 = 1
LCM(121,1575) = ( 121 × 1575 ) / 1
LCM(121,1575) = 190575 / 1
LCM(121,1575) = 190575
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FAQs on GCF of Fractions of 1246/121, 2156/1575
1. What is the HCF of 1246,2156?
The HCF of 1246,2156 is 14
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 1246/121, 2156/1575?
Answer: GCF of Numerators as per given numbers 1246/121, 2156/1575 is
GCF of Numerators i.e. for 1246,2156 is 14
LCM of denominators i.e. for 121,1575 is 190575.
Thus, GCF of Fractions is 14/190575.Finally, GCF of Fractions for 1246/121, 2156/1575 is 14/190575.