GCF of 5747/147, 5768/5158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5747/147, 5768/5158 i.e 7/758226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5747/147, 5768/5158.
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 5747/147,5768/5158?
Given fractions are 5747/147,5768/5158
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 5747/147,5768/5158, numerators are 5747,5768
Denominators are 147,5158
The GCF of 5747,5768 is 7 .
LCM of 147,5158 is 758226.
The greatest common factor of 5747/147,5768/5158 = [GCF of 5747,5768]/[LCM of 147,5158]= 7/758226
Therefore, the GCF of 5747/147,5768/5158 is 7/758226.
To find the highest common factor of 5747,5768, we have to find the factors of both numbers and list the highest common factor.
The factors of 5747 are 1, 7, 821, 5747
The factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768
The HCF of 5747,5768 is 7.
Lets's calculate GCF of 5747,5768
| 7 | 5747, 5768 |
| 821, 824 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5747,5768 By Matching Biggest Common Factor Method
Now, list down the factors of 5747
:1,7,821,5747
Now, list down the factors of 5768
:1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Greatest Common Factor
We found the factors 5747,5768 . The biggest common factor number is the GCF number.
So the greatest common factor 5747,5768 is 7.
Lets's calculate LCM of 147,5158
Given numbers has no common factors except 1. So, there LCM is their product i.e 758226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/758226
Therefore, the GCF of Fractions 5747/147,5768/5158 is 7/758226
Least Common Multiple of 147,5158 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 147,5158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,5158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,5158) x common factors =1 x 1 = 1
LCM(147,5158) = ( 147 × 5158 ) / 1
LCM(147,5158) = 758226 / 1
LCM(147,5158) = 758226
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FAQs on GCF of Fractions of 5747/147, 5768/5158
1. What is the HCF of 5747,5768?
The HCF of 5747,5768 is 7
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 5747/147, 5768/5158?
Answer: GCF of Numerators as per given numbers 5747/147, 5768/5158 is
GCF of Numerators i.e. for 5747,5768 is 7
LCM of denominators i.e. for 147,5158 is 758226.
Thus, GCF of Fractions is 7/758226.Finally, GCF of Fractions for 5747/147, 5768/5158 is 7/758226.