GCF of 3674/268, 2352/6564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3674/268, 2352/6564 i.e 2/439788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3674/268, 2352/6564.
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 3674/268,2352/6564?
Given fractions are 3674/268,2352/6564
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 3674/268,2352/6564, numerators are 3674,2352
Denominators are 268,6564
The GCF of 3674,2352 is 2 .
LCM of 268,6564 is 439788.
The greatest common factor of 3674/268,2352/6564 = [GCF of 3674,2352]/[LCM of 268,6564]= 2/439788
Therefore, the GCF of 3674/268,2352/6564 is 2/439788.
To find the highest common factor of 3674,2352, we have to find the factors of both numbers and list the highest common factor.
The factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352
The HCF of 3674,2352 is 2.
Lets's calculate GCF of 3674,2352
| 2 | 3674, 2352 |
| 1837, 1176 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3674,2352 By Matching Biggest Common Factor Method
Now, list down the factors of 3674
:1,2,11,22,167,334,1837,3674
Now, list down the factors of 2352
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352
Greatest Common Factor
We found the factors 3674,2352 . The biggest common factor number is the GCF number.
So the greatest common factor 3674,2352 is 2.
Lets's calculate LCM of 268,6564
| 2 | 268, 6564 |
| 2 | 134, 3282 |
| 67, 1641 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1641 = 439788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/439788
Therefore, the GCF of Fractions 3674/268,2352/6564 is 2/439788
Least Common Multiple of 268,6564 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 268,6564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,6564) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,6564) x common factors =4 x 1 = 4
LCM(268,6564) = ( 268 × 6564 ) / 4
LCM(268,6564) = 1759152 / 4
LCM(268,6564) = 439788
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FAQs on GCF of Fractions of 3674/268, 2352/6564
1. What is the HCF of 3674,2352?
The HCF of 3674,2352 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 3674/268, 2352/6564?
Answer: GCF of Numerators as per given numbers 3674/268, 2352/6564 is
GCF of Numerators i.e. for 3674,2352 is 2
LCM of denominators i.e. for 268,6564 is 439788.
Thus, GCF of Fractions is 2/439788.Finally, GCF of Fractions for 3674/268, 2352/6564 is 2/439788.