GCF of 1774/380, 4872/7330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1774/380, 4872/7330 i.e 2/278540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1774/380, 4872/7330.
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 1774/380,4872/7330?
Given fractions are 1774/380,4872/7330
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 1774/380,4872/7330, numerators are 1774,4872
Denominators are 380,7330
The GCF of 1774,4872 is 2 .
LCM of 380,7330 is 278540.
The greatest common factor of 1774/380,4872/7330 = [GCF of 1774,4872]/[LCM of 380,7330]= 2/278540
Therefore, the GCF of 1774/380,4872/7330 is 2/278540.
To find the highest common factor of 1774,4872, we have to find the factors of both numbers and list the highest common factor.
The factors of 1774 are 1, 2, 887, 1774
The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872
The HCF of 1774,4872 is 2.
Lets's calculate GCF of 1774,4872
| 2 | 1774, 4872 |
| 887, 2436 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1774,4872 By Matching Biggest Common Factor Method
Now, list down the factors of 1774
:1,2,887,1774
Now, list down the factors of 4872
:1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872
Greatest Common Factor
We found the factors 1774,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 1774,4872 is 2.
Lets's calculate LCM of 380,7330
| 2 | 380, 7330 |
| 5 | 190, 3665 |
| 38, 733 |
∴ So the LCM of the given numbers is 2 x 5 x 38 x 733 = 278540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278540
Therefore, the GCF of Fractions 1774/380,4872/7330 is 2/278540
Least Common Multiple of 380,7330 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 380,7330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,7330) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(380,7330) x common factors =10 x 1 = 10
LCM(380,7330) = ( 380 × 7330 ) / 10
LCM(380,7330) = 2785400 / 10
LCM(380,7330) = 278540
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FAQs on GCF of Fractions of 1774/380, 4872/7330
1. What is the HCF of 1774,4872?
The HCF of 1774,4872 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 1774/380, 4872/7330?
Answer: GCF of Numerators as per given numbers 1774/380, 4872/7330 is
GCF of Numerators i.e. for 1774,4872 is 2
LCM of denominators i.e. for 380,7330 is 278540.
Thus, GCF of Fractions is 2/278540.Finally, GCF of Fractions for 1774/380, 4872/7330 is 2/278540.