GCF of 829/2730, 140/4270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 829/2730, 140/4270 i.e 1/166530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/2730, 140/4270.
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 829/2730,140/4270?
Given fractions are 829/2730,140/4270
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 829/2730,140/4270, numerators are 829,140
Denominators are 2730,4270
The GCF of 829,140 is 1 .
LCM of 2730,4270 is 166530.
The greatest common factor of 829/2730,140/4270 = [GCF of 829,140]/[LCM of 2730,4270]= 1/166530
Therefore, the GCF of 829/2730,140/4270 is 1/166530.
To find the highest common factor of 829,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 829 are 1, 829
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 829,140 is 1.
Lets's calculate GCF of 829,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 829,140 By Matching Biggest Common Factor Method
Now, list down the factors of 829
:1,829
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 829,140 . The biggest common factor number is the GCF number.
So the greatest common factor 829,140 is 1.
Lets's calculate LCM of 2730,4270
| 2 | 2730, 4270 |
| 5 | 1365, 2135 |
| 7 | 273, 427 |
| 39, 61 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 39 x 61 = 166530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166530
Therefore, the GCF of Fractions 829/2730,140/4270 is 1/166530
Least Common Multiple of 2730,4270 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 2730,4270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2730,4270) = 70
common factors(in case of two or more numbers have common factors) = 1
GCF(2730,4270) x common factors =70 x 1 = 70
LCM(2730,4270) = ( 2730 × 4270 ) / 70
LCM(2730,4270) = 11657100 / 70
LCM(2730,4270) = 166530
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FAQs on GCF of Fractions of 829/2730, 140/4270
1. What is the HCF of 829,140?
The HCF of 829,140 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 829/2730, 140/4270?
Answer: GCF of Numerators as per given numbers 829/2730, 140/4270 is
GCF of Numerators i.e. for 829,140 is 1
LCM of denominators i.e. for 2730,4270 is 166530.
Thus, GCF of Fractions is 1/166530.Finally, GCF of Fractions for 829/2730, 140/4270 is 1/166530.