GCF of 6756/949, 7526/3312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6756/949, 7526/3312 i.e 2/3143088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6756/949, 7526/3312.
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 6756/949,7526/3312?
Given fractions are 6756/949,7526/3312
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 6756/949,7526/3312, numerators are 6756,7526
Denominators are 949,3312
The GCF of 6756,7526 is 2 .
LCM of 949,3312 is 3143088.
The greatest common factor of 6756/949,7526/3312 = [GCF of 6756,7526]/[LCM of 949,3312]= 2/3143088
Therefore, the GCF of 6756/949,7526/3312 is 2/3143088.
To find the highest common factor of 6756,7526, we have to find the factors of both numbers and list the highest common factor.
The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756
The factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526
The HCF of 6756,7526 is 2.
Lets's calculate GCF of 6756,7526
| 2 | 6756, 7526 |
| 3378, 3763 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6756,7526 By Matching Biggest Common Factor Method
Now, list down the factors of 6756
:1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Now, list down the factors of 7526
:1,2,53,71,106,142,3763,7526
Greatest Common Factor
We found the factors 6756,7526 . The biggest common factor number is the GCF number.
So the greatest common factor 6756,7526 is 2.
Lets's calculate LCM of 949,3312
Given numbers has no common factors except 1. So, there LCM is their product i.e 3143088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3143088
Therefore, the GCF of Fractions 6756/949,7526/3312 is 2/3143088
Least Common Multiple of 949,3312 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 949,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,3312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,3312) x common factors =1 x 1 = 1
LCM(949,3312) = ( 949 × 3312 ) / 1
LCM(949,3312) = 3143088 / 1
LCM(949,3312) = 3143088
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FAQs on GCF of Fractions of 6756/949, 7526/3312
1. What is the HCF of 6756,7526?
The HCF of 6756,7526 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 6756/949, 7526/3312?
Answer: GCF of Numerators as per given numbers 6756/949, 7526/3312 is
GCF of Numerators i.e. for 6756,7526 is 2
LCM of denominators i.e. for 949,3312 is 3143088.
Thus, GCF of Fractions is 2/3143088.Finally, GCF of Fractions for 6756/949, 7526/3312 is 2/3143088.