GCF of 6772/726, 7356/2890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6772/726, 7356/2890 i.e 4/1049070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6772/726, 7356/2890.
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 6772/726,7356/2890?
Given fractions are 6772/726,7356/2890
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 6772/726,7356/2890, numerators are 6772,7356
Denominators are 726,2890
The GCF of 6772,7356 is 4 .
LCM of 726,2890 is 1049070.
The greatest common factor of 6772/726,7356/2890 = [GCF of 6772,7356]/[LCM of 726,2890]= 4/1049070
Therefore, the GCF of 6772/726,7356/2890 is 4/1049070.
To find the highest common factor of 6772,7356, we have to find the factors of both numbers and list the highest common factor.
The factors of 6772 are 1, 2, 4, 1693, 3386, 6772
The factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356
The HCF of 6772,7356 is 4.
Lets's calculate GCF of 6772,7356
| 2 | 6772, 7356 |
| 2 | 3386, 3678 |
| 1693, 1839 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6772,7356 By Matching Biggest Common Factor Method
Now, list down the factors of 6772
:1,2,4,1693,3386,6772
Now, list down the factors of 7356
:1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors 6772,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 6772,7356 is 4.
Lets's calculate LCM of 726,2890
| 2 | 726, 2890 |
| 363, 1445 |
∴ So the LCM of the given numbers is 2 x 363 x 1445 = 1049070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1049070
Therefore, the GCF of Fractions 6772/726,7356/2890 is 4/1049070
Least Common Multiple of 726,2890 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 726,2890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,2890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,2890) x common factors =2 x 1 = 2
LCM(726,2890) = ( 726 × 2890 ) / 2
LCM(726,2890) = 2098140 / 2
LCM(726,2890) = 1049070
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FAQs on GCF of Fractions of 6772/726, 7356/2890
1. What is the HCF of 6772,7356?
The HCF of 6772,7356 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 6772/726, 7356/2890?
Answer: GCF of Numerators as per given numbers 6772/726, 7356/2890 is
GCF of Numerators i.e. for 6772,7356 is 4
LCM of denominators i.e. for 726,2890 is 1049070.
Thus, GCF of Fractions is 4/1049070.Finally, GCF of Fractions for 6772/726, 7356/2890 is 4/1049070.