GCF of 348/840, 3135/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/840, 3135/253 i.e 3/212520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/840, 3135/253.
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 348/840,3135/253?
Given fractions are 348/840,3135/253
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 348/840,3135/253, numerators are 348,3135
Denominators are 840,253
The GCF of 348,3135 is 3 .
LCM of 840,253 is 212520.
The greatest common factor of 348/840,3135/253 = [GCF of 348,3135]/[LCM of 840,253]= 3/212520
Therefore, the GCF of 348/840,3135/253 is 3/212520.
To find the highest common factor of 348,3135, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135
The HCF of 348,3135 is 3.
Lets's calculate GCF of 348,3135
| 3 | 348, 3135 |
| 116, 1045 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 348,3135 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 3135
:1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 348,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 348,3135 is 3.
Lets's calculate LCM of 840,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 212520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/212520
Therefore, the GCF of Fractions 348/840,3135/253 is 3/212520
Least Common Multiple of 840,253 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 840,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(840,253) x common factors =1 x 1 = 1
LCM(840,253) = ( 840 × 253 ) / 1
LCM(840,253) = 212520 / 1
LCM(840,253) = 212520
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FAQs on GCF of Fractions of 348/840, 3135/253
1. What is the HCF of 348,3135?
The HCF of 348,3135 is 3
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 348/840, 3135/253?
Answer: GCF of Numerators as per given numbers 348/840, 3135/253 is
GCF of Numerators i.e. for 348,3135 is 3
LCM of denominators i.e. for 840,253 is 212520.
Thus, GCF of Fractions is 3/212520.Finally, GCF of Fractions for 348/840, 3135/253 is 3/212520.