GCF of 469/187, 7798/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 469/187, 7798/170 i.e 7/1870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 469/187, 7798/170.
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 469/187,7798/170?
Given fractions are 469/187,7798/170
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 469/187,7798/170, numerators are 469,7798
Denominators are 187,170
The GCF of 469,7798 is 7 .
LCM of 187,170 is 1870.
The greatest common factor of 469/187,7798/170 = [GCF of 469,7798]/[LCM of 187,170]= 7/1870
Therefore, the GCF of 469/187,7798/170 is 7/1870.
To find the highest common factor of 469,7798, we have to find the factors of both numbers and list the highest common factor.
The factors of 469 are 1, 7, 67, 469
The factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798
The HCF of 469,7798 is 7.
Lets's calculate GCF of 469,7798
| 7 | 469, 7798 |
| 67, 1114 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 469,7798 By Matching Biggest Common Factor Method
Now, list down the factors of 469
:1,7,67,469
Now, list down the factors of 7798
:1,2,7,14,557,1114,3899,7798
Greatest Common Factor
We found the factors 469,7798 . The biggest common factor number is the GCF number.
So the greatest common factor 469,7798 is 7.
Lets's calculate LCM of 187,170
| 17 | 187, 170 |
| 11, 10 |
∴ So the LCM of the given numbers is 17 x 11 x 10 = 1870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1870
Therefore, the GCF of Fractions 469/187,7798/170 is 7/1870
Least Common Multiple of 187,170 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 187,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,170) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(187,170) x common factors =17 x 1 = 17
LCM(187,170) = ( 187 × 170 ) / 17
LCM(187,170) = 31790 / 17
LCM(187,170) = 1870
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FAQs on GCF of Fractions of 469/187, 7798/170
1. What is the HCF of 469,7798?
The HCF of 469,7798 is 7
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 469/187, 7798/170?
Answer: GCF of Numerators as per given numbers 469/187, 7798/170 is
GCF of Numerators i.e. for 469,7798 is 7
LCM of denominators i.e. for 187,170 is 1870.
Thus, GCF of Fractions is 7/1870.Finally, GCF of Fractions for 469/187, 7798/170 is 7/1870.