GCF of 2752/681, 8768/6766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2752/681, 8768/6766 i.e 64/4607646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2752/681, 8768/6766.
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 2752/681,8768/6766?
Given fractions are 2752/681,8768/6766
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 2752/681,8768/6766, numerators are 2752,8768
Denominators are 681,6766
The GCF of 2752,8768 is 64 .
LCM of 681,6766 is 4607646.
The greatest common factor of 2752/681,8768/6766 = [GCF of 2752,8768]/[LCM of 681,6766]= 64/4607646
Therefore, the GCF of 2752/681,8768/6766 is 64/4607646.
To find the highest common factor of 2752,8768, we have to find the factors of both numbers and list the highest common factor.
The factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752
The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
The HCF of 2752,8768 is 64.
Lets's calculate GCF of 2752,8768
| 2 | 2752, 8768 |
| 2 | 1376, 4384 |
| 2 | 688, 2192 |
| 2 | 344, 1096 |
| 2 | 172, 548 |
| 2 | 86, 274 |
| 43, 137 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 2752,8768 By Matching Biggest Common Factor Method
Now, list down the factors of 2752
:1,2,4,8,16,32,43,64,86,172,344,688,1376,2752
Now, list down the factors of 8768
:1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Greatest Common Factor
We found the factors 2752,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 2752,8768 is 64.
Lets's calculate LCM of 681,6766
Given numbers has no common factors except 1. So, there LCM is their product i.e 4607646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/4607646
Therefore, the GCF of Fractions 2752/681,8768/6766 is 64/4607646
Least Common Multiple of 681,6766 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 681,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,6766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,6766) x common factors =1 x 1 = 1
LCM(681,6766) = ( 681 × 6766 ) / 1
LCM(681,6766) = 4607646 / 1
LCM(681,6766) = 4607646
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2752/681, 8768/6766
1. What is the HCF of 2752,8768?
The HCF of 2752,8768 is 64
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 2752/681, 8768/6766?
Answer: GCF of Numerators as per given numbers 2752/681, 8768/6766 is
GCF of Numerators i.e. for 2752,8768 is 64
LCM of denominators i.e. for 681,6766 is 4607646.
Thus, GCF of Fractions is 64/4607646.Finally, GCF of Fractions for 2752/681, 8768/6766 is 64/4607646.