GCF of 3350/185, 3140/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3350/185, 3140/767 i.e 10/141895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3350/185, 3140/767.
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 3350/185,3140/767?
Given fractions are 3350/185,3140/767
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 3350/185,3140/767, numerators are 3350,3140
Denominators are 185,767
The GCF of 3350,3140 is 10 .
LCM of 185,767 is 141895.
The greatest common factor of 3350/185,3140/767 = [GCF of 3350,3140]/[LCM of 185,767]= 10/141895
Therefore, the GCF of 3350/185,3140/767 is 10/141895.
To find the highest common factor of 3350,3140, we have to find the factors of both numbers and list the highest common factor.
The factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The HCF of 3350,3140 is 10.
Lets's calculate GCF of 3350,3140
| 2 | 3350, 3140 |
| 5 | 1675, 1570 |
| 335, 314 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3350,3140 By Matching Biggest Common Factor Method
Now, list down the factors of 3350
:1,2,5,10,25,50,67,134,335,670,1675,3350
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Greatest Common Factor
We found the factors 3350,3140 . The biggest common factor number is the GCF number.
So the greatest common factor 3350,3140 is 10.
Lets's calculate LCM of 185,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 141895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/141895
Therefore, the GCF of Fractions 3350/185,3140/767 is 10/141895
Least Common Multiple of 185,767 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 185,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,767) x common factors =1 x 1 = 1
LCM(185,767) = ( 185 × 767 ) / 1
LCM(185,767) = 141895 / 1
LCM(185,767) = 141895
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FAQs on GCF of Fractions of 3350/185, 3140/767
1. What is the HCF of 3350,3140?
The HCF of 3350,3140 is 10
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 3350/185, 3140/767?
Answer: GCF of Numerators as per given numbers 3350/185, 3140/767 is
GCF of Numerators i.e. for 3350,3140 is 10
LCM of denominators i.e. for 185,767 is 141895.
Thus, GCF of Fractions is 10/141895.Finally, GCF of Fractions for 3350/185, 3140/767 is 10/141895.