GCF of 2667/248, 7344/7004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2667/248, 7344/7004 i.e 3/434248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2667/248, 7344/7004.
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 2667/248,7344/7004?
Given fractions are 2667/248,7344/7004
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 2667/248,7344/7004, numerators are 2667,7344
Denominators are 248,7004
The GCF of 2667,7344 is 3 .
LCM of 248,7004 is 434248.
The greatest common factor of 2667/248,7344/7004 = [GCF of 2667,7344]/[LCM of 248,7004]= 3/434248
Therefore, the GCF of 2667/248,7344/7004 is 3/434248.
To find the highest common factor of 2667,7344, we have to find the factors of both numbers and list the highest common factor.
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344
The HCF of 2667,7344 is 3.
Lets's calculate GCF of 2667,7344
| 3 | 2667, 7344 |
| 889, 2448 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2667,7344 By Matching Biggest Common Factor Method
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Now, list down the factors of 7344
:1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344
Greatest Common Factor
We found the factors 2667,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 2667,7344 is 3.
Lets's calculate LCM of 248,7004
| 2 | 248, 7004 |
| 2 | 124, 3502 |
| 62, 1751 |
∴ So the LCM of the given numbers is 2 x 2 x 62 x 1751 = 434248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/434248
Therefore, the GCF of Fractions 2667/248,7344/7004 is 3/434248
Least Common Multiple of 248,7004 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 248,7004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,7004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(248,7004) x common factors =4 x 1 = 4
LCM(248,7004) = ( 248 × 7004 ) / 4
LCM(248,7004) = 1736992 / 4
LCM(248,7004) = 434248
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FAQs on GCF of Fractions of 2667/248, 7344/7004
1. What is the HCF of 2667,7344?
The HCF of 2667,7344 is 3
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 2667/248, 7344/7004?
Answer: GCF of Numerators as per given numbers 2667/248, 7344/7004 is
GCF of Numerators i.e. for 2667,7344 is 3
LCM of denominators i.e. for 248,7004 is 434248.
Thus, GCF of Fractions is 3/434248.Finally, GCF of Fractions for 2667/248, 7344/7004 is 3/434248.