GCF of 2782/727, 6682/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2782/727, 6682/701 i.e 26/509627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2782/727, 6682/701.
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 2782/727,6682/701?
Given fractions are 2782/727,6682/701
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 2782/727,6682/701, numerators are 2782,6682
Denominators are 727,701
The GCF of 2782,6682 is 26 .
LCM of 727,701 is 509627.
The greatest common factor of 2782/727,6682/701 = [GCF of 2782,6682]/[LCM of 727,701]= 26/509627
Therefore, the GCF of 2782/727,6682/701 is 26/509627.
To find the highest common factor of 2782,6682, we have to find the factors of both numbers and list the highest common factor.
The factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782
The factors of 6682 are 1, 2, 13, 26, 257, 514, 3341, 6682
The HCF of 2782,6682 is 26.
Lets's calculate GCF of 2782,6682
| 2 | 2782, 6682 |
| 13 | 1391, 3341 |
| 107, 257 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 2782,6682 By Matching Biggest Common Factor Method
Now, list down the factors of 2782
:1,2,13,26,107,214,1391,2782
Now, list down the factors of 6682
:1,2,13,26,257,514,3341,6682
Greatest Common Factor
We found the factors 2782,6682 . The biggest common factor number is the GCF number.
So the greatest common factor 2782,6682 is 26.
Lets's calculate LCM of 727,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 509627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/509627
Therefore, the GCF of Fractions 2782/727,6682/701 is 26/509627
Least Common Multiple of 727,701 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 727,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,701) x common factors =1 x 1 = 1
LCM(727,701) = ( 727 × 701 ) / 1
LCM(727,701) = 509627 / 1
LCM(727,701) = 509627
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FAQs on GCF of Fractions of 2782/727, 6682/701
1. What is the HCF of 2782,6682?
The HCF of 2782,6682 is 26
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 2782/727, 6682/701?
Answer: GCF of Numerators as per given numbers 2782/727, 6682/701 is
GCF of Numerators i.e. for 2782,6682 is 26
LCM of denominators i.e. for 727,701 is 509627.
Thus, GCF of Fractions is 26/509627.Finally, GCF of Fractions for 2782/727, 6682/701 is 26/509627.