GCF of 7742/149, 9342/6112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7742/149, 9342/6112 i.e 2/910688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7742/149, 9342/6112.
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 7742/149,9342/6112?
Given fractions are 7742/149,9342/6112
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 7742/149,9342/6112, numerators are 7742,9342
Denominators are 149,6112
The GCF of 7742,9342 is 2 .
LCM of 149,6112 is 910688.
The greatest common factor of 7742/149,9342/6112 = [GCF of 7742,9342]/[LCM of 149,6112]= 2/910688
Therefore, the GCF of 7742/149,9342/6112 is 2/910688.
To find the highest common factor of 7742,9342, we have to find the factors of both numbers and list the highest common factor.
The factors of 7742 are 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742
The factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342
The HCF of 7742,9342 is 2.
Lets's calculate GCF of 7742,9342
| 2 | 7742, 9342 |
| 3871, 4671 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7742,9342 By Matching Biggest Common Factor Method
Now, list down the factors of 7742
:1,2,7,14,49,79,98,158,553,1106,3871,7742
Now, list down the factors of 9342
:1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342
Greatest Common Factor
We found the factors 7742,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 7742,9342 is 2.
Lets's calculate LCM of 149,6112
Given numbers has no common factors except 1. So, there LCM is their product i.e 910688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/910688
Therefore, the GCF of Fractions 7742/149,9342/6112 is 2/910688
Least Common Multiple of 149,6112 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 149,6112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,6112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,6112) x common factors =1 x 1 = 1
LCM(149,6112) = ( 149 × 6112 ) / 1
LCM(149,6112) = 910688 / 1
LCM(149,6112) = 910688
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FAQs on GCF of Fractions of 7742/149, 9342/6112
1. What is the HCF of 7742,9342?
The HCF of 7742,9342 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 7742/149, 9342/6112?
Answer: GCF of Numerators as per given numbers 7742/149, 9342/6112 is
GCF of Numerators i.e. for 7742,9342 is 2
LCM of denominators i.e. for 149,6112 is 910688.
Thus, GCF of Fractions is 2/910688.Finally, GCF of Fractions for 7742/149, 9342/6112 is 2/910688.