GCF of 2288/974, 2790/6214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2288/974, 2790/6214 i.e 2/3026218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2288/974, 2790/6214.
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 2288/974,2790/6214?
Given fractions are 2288/974,2790/6214
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 2288/974,2790/6214, numerators are 2288,2790
Denominators are 974,6214
The GCF of 2288,2790 is 2 .
LCM of 974,6214 is 3026218.
The greatest common factor of 2288/974,2790/6214 = [GCF of 2288,2790]/[LCM of 974,6214]= 2/3026218
Therefore, the GCF of 2288/974,2790/6214 is 2/3026218.
To find the highest common factor of 2288,2790, we have to find the factors of both numbers and list the highest common factor.
The factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288
The factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790
The HCF of 2288,2790 is 2.
Lets's calculate GCF of 2288,2790
| 2 | 2288, 2790 |
| 1144, 1395 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2288,2790 By Matching Biggest Common Factor Method
Now, list down the factors of 2288
:1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288
Now, list down the factors of 2790
:1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790
Greatest Common Factor
We found the factors 2288,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 2288,2790 is 2.
Lets's calculate LCM of 974,6214
| 2 | 974, 6214 |
| 487, 3107 |
∴ So the LCM of the given numbers is 2 x 487 x 3107 = 3026218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3026218
Therefore, the GCF of Fractions 2288/974,2790/6214 is 2/3026218
Least Common Multiple of 974,6214 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 974,6214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,6214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,6214) x common factors =2 x 1 = 2
LCM(974,6214) = ( 974 × 6214 ) / 2
LCM(974,6214) = 6052436 / 2
LCM(974,6214) = 3026218
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FAQs on GCF of Fractions of 2288/974, 2790/6214
1. What is the HCF of 2288,2790?
The HCF of 2288,2790 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 2288/974, 2790/6214?
Answer: GCF of Numerators as per given numbers 2288/974, 2790/6214 is
GCF of Numerators i.e. for 2288,2790 is 2
LCM of denominators i.e. for 974,6214 is 3026218.
Thus, GCF of Fractions is 2/3026218.Finally, GCF of Fractions for 2288/974, 2790/6214 is 2/3026218.