GCF of 3178/754, 9962/9134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3178/754, 9962/9134 i.e 2/3443518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3178/754, 9962/9134.
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 3178/754,9962/9134?
Given fractions are 3178/754,9962/9134
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 3178/754,9962/9134, numerators are 3178,9962
Denominators are 754,9134
The GCF of 3178,9962 is 2 .
LCM of 754,9134 is 3443518.
The greatest common factor of 3178/754,9962/9134 = [GCF of 3178,9962]/[LCM of 754,9134]= 2/3443518
Therefore, the GCF of 3178/754,9962/9134 is 2/3443518.
To find the highest common factor of 3178,9962, we have to find the factors of both numbers and list the highest common factor.
The factors of 3178 are 1, 2, 7, 14, 227, 454, 1589, 3178
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962
The HCF of 3178,9962 is 2.
Lets's calculate GCF of 3178,9962
| 2 | 3178, 9962 |
| 1589, 4981 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3178,9962 By Matching Biggest Common Factor Method
Now, list down the factors of 3178
:1,2,7,14,227,454,1589,3178
Now, list down the factors of 9962
:1,2,17,34,293,586,4981,9962
Greatest Common Factor
We found the factors 3178,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 3178,9962 is 2.
Lets's calculate LCM of 754,9134
| 2 | 754, 9134 |
| 377, 4567 |
∴ So the LCM of the given numbers is 2 x 377 x 4567 = 3443518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3443518
Therefore, the GCF of Fractions 3178/754,9962/9134 is 2/3443518
Least Common Multiple of 754,9134 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 754,9134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,9134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,9134) x common factors =2 x 1 = 2
LCM(754,9134) = ( 754 × 9134 ) / 2
LCM(754,9134) = 6887036 / 2
LCM(754,9134) = 3443518
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FAQs on GCF of Fractions of 3178/754, 9962/9134
1. What is the HCF of 3178,9962?
The HCF of 3178,9962 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 3178/754, 9962/9134?
Answer: GCF of Numerators as per given numbers 3178/754, 9962/9134 is
GCF of Numerators i.e. for 3178,9962 is 2
LCM of denominators i.e. for 754,9134 is 3443518.
Thus, GCF of Fractions is 2/3443518.Finally, GCF of Fractions for 3178/754, 9962/9134 is 2/3443518.