GCF of 7834/232, 2704/9825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7834/232, 2704/9825 i.e 2/2279400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7834/232, 2704/9825.
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 7834/232,2704/9825?
Given fractions are 7834/232,2704/9825
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 7834/232,2704/9825, numerators are 7834,2704
Denominators are 232,9825
The GCF of 7834,2704 is 2 .
LCM of 232,9825 is 2279400.
The greatest common factor of 7834/232,2704/9825 = [GCF of 7834,2704]/[LCM of 232,9825]= 2/2279400
Therefore, the GCF of 7834/232,2704/9825 is 2/2279400.
To find the highest common factor of 7834,2704, we have to find the factors of both numbers and list the highest common factor.
The factors of 7834 are 1, 2, 3917, 7834
The factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704
The HCF of 7834,2704 is 2.
Lets's calculate GCF of 7834,2704
| 2 | 7834, 2704 |
| 3917, 1352 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7834,2704 By Matching Biggest Common Factor Method
Now, list down the factors of 7834
:1,2,3917,7834
Now, list down the factors of 2704
:1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704
Greatest Common Factor
We found the factors 7834,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 7834,2704 is 2.
Lets's calculate LCM of 232,9825
Given numbers has no common factors except 1. So, there LCM is their product i.e 2279400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2279400
Therefore, the GCF of Fractions 7834/232,2704/9825 is 2/2279400
Least Common Multiple of 232,9825 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 232,9825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,9825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,9825) x common factors =1 x 1 = 1
LCM(232,9825) = ( 232 × 9825 ) / 1
LCM(232,9825) = 2279400 / 1
LCM(232,9825) = 2279400
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FAQs on GCF of Fractions of 7834/232, 2704/9825
1. What is the HCF of 7834,2704?
The HCF of 7834,2704 is 2
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 7834/232, 2704/9825?
Answer: GCF of Numerators as per given numbers 7834/232, 2704/9825 is
GCF of Numerators i.e. for 7834,2704 is 2
LCM of denominators i.e. for 232,9825 is 2279400.
Thus, GCF of Fractions is 2/2279400.Finally, GCF of Fractions for 7834/232, 2704/9825 is 2/2279400.