GCF of 6709/822, 5757/1035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6709/822, 5757/1035 i.e 1/283590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6709/822, 5757/1035.
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 6709/822,5757/1035?
Given fractions are 6709/822,5757/1035
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 6709/822,5757/1035, numerators are 6709,5757
Denominators are 822,1035
The GCF of 6709,5757 is 1 .
LCM of 822,1035 is 283590.
The greatest common factor of 6709/822,5757/1035 = [GCF of 6709,5757]/[LCM of 822,1035]= 1/283590
Therefore, the GCF of 6709/822,5757/1035 is 1/283590.
To find the highest common factor of 6709,5757, we have to find the factors of both numbers and list the highest common factor.
The factors of 6709 are 1, 6709
The factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757
The HCF of 6709,5757 is 1.
Lets's calculate GCF of 6709,5757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6709,5757 By Matching Biggest Common Factor Method
Now, list down the factors of 6709
:1,6709
Now, list down the factors of 5757
:1,3,19,57,101,303,1919,5757
Greatest Common Factor
We found the factors 6709,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 6709,5757 is 1.
Lets's calculate LCM of 822,1035
| 3 | 822, 1035 |
| 274, 345 |
∴ So the LCM of the given numbers is 3 x 274 x 345 = 283590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283590
Therefore, the GCF of Fractions 6709/822,5757/1035 is 1/283590
Least Common Multiple of 822,1035 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 822,1035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,1035) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(822,1035) x common factors =3 x 1 = 3
LCM(822,1035) = ( 822 × 1035 ) / 3
LCM(822,1035) = 850770 / 3
LCM(822,1035) = 283590
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FAQs on GCF of Fractions of 6709/822, 5757/1035
1. What is the HCF of 6709,5757?
The HCF of 6709,5757 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 6709/822, 5757/1035?
Answer: GCF of Numerators as per given numbers 6709/822, 5757/1035 is
GCF of Numerators i.e. for 6709,5757 is 1
LCM of denominators i.e. for 822,1035 is 283590.
Thus, GCF of Fractions is 1/283590.Finally, GCF of Fractions for 6709/822, 5757/1035 is 1/283590.