GCF of 2774/754, 7334/3388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2774/754, 7334/3388 i.e 38/1277276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2774/754, 7334/3388.
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 2774/754,7334/3388?
Given fractions are 2774/754,7334/3388
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 2774/754,7334/3388, numerators are 2774,7334
Denominators are 754,3388
The GCF of 2774,7334 is 38 .
LCM of 754,3388 is 1277276.
The greatest common factor of 2774/754,7334/3388 = [GCF of 2774,7334]/[LCM of 754,3388]= 38/1277276
Therefore, the GCF of 2774/754,7334/3388 is 38/1277276.
To find the highest common factor of 2774,7334, we have to find the factors of both numbers and list the highest common factor.
The factors of 2774 are 1, 2, 19, 38, 73, 146, 1387, 2774
The factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334
The HCF of 2774,7334 is 38.
Lets's calculate GCF of 2774,7334
| 2 | 2774, 7334 |
| 19 | 1387, 3667 |
| 73, 193 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 2774,7334 By Matching Biggest Common Factor Method
Now, list down the factors of 2774
:1,2,19,38,73,146,1387,2774
Now, list down the factors of 7334
:1,2,19,38,193,386,3667,7334
Greatest Common Factor
We found the factors 2774,7334 . The biggest common factor number is the GCF number.
So the greatest common factor 2774,7334 is 38.
Lets's calculate LCM of 754,3388
| 2 | 754, 3388 |
| 377, 1694 |
∴ So the LCM of the given numbers is 2 x 377 x 1694 = 1277276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1277276
Therefore, the GCF of Fractions 2774/754,7334/3388 is 38/1277276
Least Common Multiple of 754,3388 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 754,3388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,3388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,3388) x common factors =2 x 1 = 2
LCM(754,3388) = ( 754 × 3388 ) / 2
LCM(754,3388) = 2554552 / 2
LCM(754,3388) = 1277276
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FAQs on GCF of Fractions of 2774/754, 7334/3388
1. What is the HCF of 2774,7334?
The HCF of 2774,7334 is 38
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 2774/754, 7334/3388?
Answer: GCF of Numerators as per given numbers 2774/754, 7334/3388 is
GCF of Numerators i.e. for 2774,7334 is 38
LCM of denominators i.e. for 754,3388 is 1277276.
Thus, GCF of Fractions is 38/1277276.Finally, GCF of Fractions for 2774/754, 7334/3388 is 38/1277276.