GCF of 3582/822, 1708/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3582/822, 1708/769 i.e 2/632118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3582/822, 1708/769.
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 3582/822,1708/769?
Given fractions are 3582/822,1708/769
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 3582/822,1708/769, numerators are 3582,1708
Denominators are 822,769
The GCF of 3582,1708 is 2 .
LCM of 822,769 is 632118.
The greatest common factor of 3582/822,1708/769 = [GCF of 3582,1708]/[LCM of 822,769]= 2/632118
Therefore, the GCF of 3582/822,1708/769 is 2/632118.
To find the highest common factor of 3582,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 3582,1708 is 2.
Lets's calculate GCF of 3582,1708
| 2 | 3582, 1708 |
| 1791, 854 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3582,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 3582
:1,2,3,6,9,18,199,398,597,1194,1791,3582
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 3582,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 3582,1708 is 2.
Lets's calculate LCM of 822,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 632118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/632118
Therefore, the GCF of Fractions 3582/822,1708/769 is 2/632118
Least Common Multiple of 822,769 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 822,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,769) x common factors =1 x 1 = 1
LCM(822,769) = ( 822 × 769 ) / 1
LCM(822,769) = 632118 / 1
LCM(822,769) = 632118
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3582/822, 1708/769
1. What is the HCF of 3582,1708?
The HCF of 3582,1708 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 3582/822, 1708/769?
Answer: GCF of Numerators as per given numbers 3582/822, 1708/769 is
GCF of Numerators i.e. for 3582,1708 is 2
LCM of denominators i.e. for 822,769 is 632118.
Thus, GCF of Fractions is 2/632118.Finally, GCF of Fractions for 3582/822, 1708/769 is 2/632118.