GCF of 1172/42, 9420/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1172/42, 9420/814 i.e 4/17094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1172/42, 9420/814.
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 1172/42,9420/814?
Given fractions are 1172/42,9420/814
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 1172/42,9420/814, numerators are 1172,9420
Denominators are 42,814
The GCF of 1172,9420 is 4 .
LCM of 42,814 is 17094.
The greatest common factor of 1172/42,9420/814 = [GCF of 1172,9420]/[LCM of 42,814]= 4/17094
Therefore, the GCF of 1172/42,9420/814 is 4/17094.
To find the highest common factor of 1172,9420, we have to find the factors of both numbers and list the highest common factor.
The factors of 1172 are 1, 2, 4, 293, 586, 1172
The factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420
The HCF of 1172,9420 is 4.
Lets's calculate GCF of 1172,9420
| 2 | 1172, 9420 |
| 2 | 586, 4710 |
| 293, 2355 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1172,9420 By Matching Biggest Common Factor Method
Now, list down the factors of 1172
:1,2,4,293,586,1172
Now, list down the factors of 9420
:1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Greatest Common Factor
We found the factors 1172,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 1172,9420 is 4.
Lets's calculate LCM of 42,814
| 2 | 42, 814 |
| 21, 407 |
∴ So the LCM of the given numbers is 2 x 21 x 407 = 17094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17094
Therefore, the GCF of Fractions 1172/42,9420/814 is 4/17094
Least Common Multiple of 42,814 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 42,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,814) x common factors =2 x 1 = 2
LCM(42,814) = ( 42 × 814 ) / 2
LCM(42,814) = 34188 / 2
LCM(42,814) = 17094
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FAQs on GCF of Fractions of 1172/42, 9420/814
1. What is the HCF of 1172,9420?
The HCF of 1172,9420 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 1172/42, 9420/814?
Answer: GCF of Numerators as per given numbers 1172/42, 9420/814 is
GCF of Numerators i.e. for 1172,9420 is 4
LCM of denominators i.e. for 42,814 is 17094.
Thus, GCF of Fractions is 4/17094.Finally, GCF of Fractions for 1172/42, 9420/814 is 4/17094.