GCF of 2692/680, 2648/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2692/680, 2648/714 i.e 4/14280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2692/680, 2648/714.
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 2692/680,2648/714?
Given fractions are 2692/680,2648/714
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 2692/680,2648/714, numerators are 2692,2648
Denominators are 680,714
The GCF of 2692,2648 is 4 .
LCM of 680,714 is 14280.
The greatest common factor of 2692/680,2648/714 = [GCF of 2692,2648]/[LCM of 680,714]= 4/14280
Therefore, the GCF of 2692/680,2648/714 is 4/14280.
To find the highest common factor of 2692,2648, we have to find the factors of both numbers and list the highest common factor.
The factors of 2692 are 1, 2, 4, 673, 1346, 2692
The factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648
The HCF of 2692,2648 is 4.
Lets's calculate GCF of 2692,2648
| 2 | 2692, 2648 |
| 2 | 1346, 1324 |
| 673, 662 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2692,2648 By Matching Biggest Common Factor Method
Now, list down the factors of 2692
:1,2,4,673,1346,2692
Now, list down the factors of 2648
:1,2,4,8,331,662,1324,2648
Greatest Common Factor
We found the factors 2692,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 2692,2648 is 4.
Lets's calculate LCM of 680,714
| 2 | 680, 714 |
| 17 | 340, 357 |
| 20, 21 |
∴ So the LCM of the given numbers is 2 x 17 x 20 x 21 = 14280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14280
Therefore, the GCF of Fractions 2692/680,2648/714 is 4/14280
Least Common Multiple of 680,714 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 680,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,714) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(680,714) x common factors =34 x 1 = 34
LCM(680,714) = ( 680 × 714 ) / 34
LCM(680,714) = 485520 / 34
LCM(680,714) = 14280
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2692/680, 2648/714
1. What is the HCF of 2692,2648?
The HCF of 2692,2648 is 4
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 2692/680, 2648/714?
Answer: GCF of Numerators as per given numbers 2692/680, 2648/714 is
GCF of Numerators i.e. for 2692,2648 is 4
LCM of denominators i.e. for 680,714 is 14280.
Thus, GCF of Fractions is 4/14280.Finally, GCF of Fractions for 2692/680, 2648/714 is 4/14280.