GCF of 3060/174, 2507/4338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3060/174, 2507/4338 i.e 1/125802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3060/174, 2507/4338.
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 3060/174,2507/4338?
Given fractions are 3060/174,2507/4338
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 3060/174,2507/4338, numerators are 3060,2507
Denominators are 174,4338
The GCF of 3060,2507 is 1 .
LCM of 174,4338 is 125802.
The greatest common factor of 3060/174,2507/4338 = [GCF of 3060,2507]/[LCM of 174,4338]= 1/125802
Therefore, the GCF of 3060/174,2507/4338 is 1/125802.
To find the highest common factor of 3060,2507, we have to find the factors of both numbers and list the highest common factor.
The factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060
The factors of 2507 are 1, 23, 109, 2507
The HCF of 3060,2507 is 1.
Lets's calculate GCF of 3060,2507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3060,2507 By Matching Biggest Common Factor Method
Now, list down the factors of 3060
:1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Now, list down the factors of 2507
:1,23,109,2507
Greatest Common Factor
We found the factors 3060,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 3060,2507 is 1.
Lets's calculate LCM of 174,4338
| 2 | 174, 4338 |
| 3 | 87, 2169 |
| 29, 723 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 723 = 125802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125802
Therefore, the GCF of Fractions 3060/174,2507/4338 is 1/125802
Least Common Multiple of 174,4338 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 174,4338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,4338) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,4338) x common factors =6 x 1 = 6
LCM(174,4338) = ( 174 × 4338 ) / 6
LCM(174,4338) = 754812 / 6
LCM(174,4338) = 125802
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FAQs on GCF of Fractions of 3060/174, 2507/4338
1. What is the HCF of 3060,2507?
The HCF of 3060,2507 is 1
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 3060/174, 2507/4338?
Answer: GCF of Numerators as per given numbers 3060/174, 2507/4338 is
GCF of Numerators i.e. for 3060,2507 is 1
LCM of denominators i.e. for 174,4338 is 125802.
Thus, GCF of Fractions is 1/125802.Finally, GCF of Fractions for 3060/174, 2507/4338 is 1/125802.