GCF of 4841/190, 8470/7754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4841/190, 8470/7754 i.e 1/736630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4841/190, 8470/7754.
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 4841/190,8470/7754?
Given fractions are 4841/190,8470/7754
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 4841/190,8470/7754, numerators are 4841,8470
Denominators are 190,7754
The GCF of 4841,8470 is 1 .
LCM of 190,7754 is 736630.
The greatest common factor of 4841/190,8470/7754 = [GCF of 4841,8470]/[LCM of 190,7754]= 1/736630
Therefore, the GCF of 4841/190,8470/7754 is 1/736630.
To find the highest common factor of 4841,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 4841 are 1, 47, 103, 4841
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 4841,8470 is 1.
Lets's calculate GCF of 4841,8470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4841,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 4841
:1,47,103,4841
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 4841,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 4841,8470 is 1.
Lets's calculate LCM of 190,7754
| 2 | 190, 7754 |
| 95, 3877 |
∴ So the LCM of the given numbers is 2 x 95 x 3877 = 736630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736630
Therefore, the GCF of Fractions 4841/190,8470/7754 is 1/736630
Least Common Multiple of 190,7754 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 190,7754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,7754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,7754) x common factors =2 x 1 = 2
LCM(190,7754) = ( 190 × 7754 ) / 2
LCM(190,7754) = 1473260 / 2
LCM(190,7754) = 736630
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FAQs on GCF of Fractions of 4841/190, 8470/7754
1. What is the HCF of 4841,8470?
The HCF of 4841,8470 is 1
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 4841/190, 8470/7754?
Answer: GCF of Numerators as per given numbers 4841/190, 8470/7754 is
GCF of Numerators i.e. for 4841,8470 is 1
LCM of denominators i.e. for 190,7754 is 736630.
Thus, GCF of Fractions is 1/736630.Finally, GCF of Fractions for 4841/190, 8470/7754 is 1/736630.