GCF of 7785/802, 8741/628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7785/802, 8741/628 i.e 1/251828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7785/802, 8741/628.
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 7785/802,8741/628?
Given fractions are 7785/802,8741/628
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 7785/802,8741/628, numerators are 7785,8741
Denominators are 802,628
The GCF of 7785,8741 is 1 .
LCM of 802,628 is 251828.
The greatest common factor of 7785/802,8741/628 = [GCF of 7785,8741]/[LCM of 802,628]= 1/251828
Therefore, the GCF of 7785/802,8741/628 is 1/251828.
To find the highest common factor of 7785,8741, we have to find the factors of both numbers and list the highest common factor.
The factors of 7785 are 1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595, 7785
The factors of 8741 are 1, 8741
The HCF of 7785,8741 is 1.
Lets's calculate GCF of 7785,8741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7785,8741 By Matching Biggest Common Factor Method
Now, list down the factors of 7785
:1,3,5,9,15,45,173,519,865,1557,2595,7785
Now, list down the factors of 8741
:1,8741
Greatest Common Factor
We found the factors 7785,8741 . The biggest common factor number is the GCF number.
So the greatest common factor 7785,8741 is 1.
Lets's calculate LCM of 802,628
| 2 | 802, 628 |
| 401, 314 |
∴ So the LCM of the given numbers is 2 x 401 x 314 = 251828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251828
Therefore, the GCF of Fractions 7785/802,8741/628 is 1/251828
Least Common Multiple of 802,628 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 802,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,628) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,628) x common factors =2 x 1 = 2
LCM(802,628) = ( 802 × 628 ) / 2
LCM(802,628) = 503656 / 2
LCM(802,628) = 251828
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FAQs on GCF of Fractions of 7785/802, 8741/628
1. What is the HCF of 7785,8741?
The HCF of 7785,8741 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 7785/802, 8741/628?
Answer: GCF of Numerators as per given numbers 7785/802, 8741/628 is
GCF of Numerators i.e. for 7785,8741 is 1
LCM of denominators i.e. for 802,628 is 251828.
Thus, GCF of Fractions is 1/251828.Finally, GCF of Fractions for 7785/802, 8741/628 is 1/251828.