GCF of 7747/978, 7134/4718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7747/978, 7134/4718 i.e 1/2307102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7747/978, 7134/4718.
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 7747/978,7134/4718?
Given fractions are 7747/978,7134/4718
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 7747/978,7134/4718, numerators are 7747,7134
Denominators are 978,4718
The GCF of 7747,7134 is 1 .
LCM of 978,4718 is 2307102.
The greatest common factor of 7747/978,7134/4718 = [GCF of 7747,7134]/[LCM of 978,4718]= 1/2307102
Therefore, the GCF of 7747/978,7134/4718 is 1/2307102.
To find the highest common factor of 7747,7134, we have to find the factors of both numbers and list the highest common factor.
The factors of 7747 are 1, 61, 127, 7747
The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
The HCF of 7747,7134 is 1.
Lets's calculate GCF of 7747,7134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7747,7134 By Matching Biggest Common Factor Method
Now, list down the factors of 7747
:1,61,127,7747
Now, list down the factors of 7134
:1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Greatest Common Factor
We found the factors 7747,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 7747,7134 is 1.
Lets's calculate LCM of 978,4718
| 2 | 978, 4718 |
| 489, 2359 |
∴ So the LCM of the given numbers is 2 x 489 x 2359 = 2307102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2307102
Therefore, the GCF of Fractions 7747/978,7134/4718 is 1/2307102
Least Common Multiple of 978,4718 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 978,4718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,4718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,4718) x common factors =2 x 1 = 2
LCM(978,4718) = ( 978 × 4718 ) / 2
LCM(978,4718) = 4614204 / 2
LCM(978,4718) = 2307102
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FAQs on GCF of Fractions of 7747/978, 7134/4718
1. What is the HCF of 7747,7134?
The HCF of 7747,7134 is 1
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 7747/978, 7134/4718?
Answer: GCF of Numerators as per given numbers 7747/978, 7134/4718 is
GCF of Numerators i.e. for 7747,7134 is 1
LCM of denominators i.e. for 978,4718 is 2307102.
Thus, GCF of Fractions is 1/2307102.Finally, GCF of Fractions for 7747/978, 7134/4718 is 1/2307102.