GCF of 6055/355, 3114/7474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6055/355, 3114/7474 i.e 173/2653270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6055/355, 3114/7474.
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 6055/355,3114/7474?
Given fractions are 6055/355,3114/7474
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 6055/355,3114/7474, numerators are 6055,3114
Denominators are 355,7474
The GCF of 6055,3114 is 173 .
LCM of 355,7474 is 2653270.
The greatest common factor of 6055/355,3114/7474 = [GCF of 6055,3114]/[LCM of 355,7474]= 173/2653270
Therefore, the GCF of 6055/355,3114/7474 is 173/2653270.
To find the highest common factor of 6055,3114, we have to find the factors of both numbers and list the highest common factor.
The factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The HCF of 6055,3114 is 173.
Lets's calculate GCF of 6055,3114
| 173 | 6055, 3114 |
| 35, 18 |
∴ So the GCF of the given numbers is 173 = 173
Greatest Common Factor of 6055,3114 By Matching Biggest Common Factor Method
Now, list down the factors of 6055
:1,5,7,35,173,865,1211,6055
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Greatest Common Factor
We found the factors 6055,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 6055,3114 is 173.
Lets's calculate LCM of 355,7474
Given numbers has no common factors except 1. So, there LCM is their product i.e 2653270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 173/2653270
Therefore, the GCF of Fractions 6055/355,3114/7474 is 173/2653270
Least Common Multiple of 355,7474 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 355,7474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,7474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,7474) x common factors =1 x 1 = 1
LCM(355,7474) = ( 355 × 7474 ) / 1
LCM(355,7474) = 2653270 / 1
LCM(355,7474) = 2653270
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FAQs on GCF of Fractions of 6055/355, 3114/7474
1. What is the HCF of 6055,3114?
The HCF of 6055,3114 is 173
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 6055/355, 3114/7474?
Answer: GCF of Numerators as per given numbers 6055/355, 3114/7474 is
GCF of Numerators i.e. for 6055,3114 is 173
LCM of denominators i.e. for 355,7474 is 2653270.
Thus, GCF of Fractions is 173/2653270.Finally, GCF of Fractions for 6055/355, 3114/7474 is 173/2653270.