GCF of 836/10, 742/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 836/10, 742/428 i.e 2/2140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/10, 742/428.
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 836/10,742/428?
Given fractions are 836/10,742/428
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 836/10,742/428, numerators are 836,742
Denominators are 10,428
The GCF of 836,742 is 2 .
LCM of 10,428 is 2140.
The greatest common factor of 836/10,742/428 = [GCF of 836,742]/[LCM of 10,428]= 2/2140
Therefore, the GCF of 836/10,742/428 is 2/2140.
To find the highest common factor of 836,742, we have to find the factors of both numbers and list the highest common factor.
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The HCF of 836,742 is 2.
Lets's calculate GCF of 836,742
| 2 | 836, 742 |
| 418, 371 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 836,742 By Matching Biggest Common Factor Method
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 836,742 . The biggest common factor number is the GCF number.
So the greatest common factor 836,742 is 2.
Lets's calculate LCM of 10,428
| 2 | 10, 428 |
| 5, 214 |
∴ So the LCM of the given numbers is 2 x 5 x 214 = 2140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2140
Therefore, the GCF of Fractions 836/10,742/428 is 2/2140
Least Common Multiple of 10,428 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 10,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,428) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,428) x common factors =2 x 1 = 2
LCM(10,428) = ( 10 × 428 ) / 2
LCM(10,428) = 4280 / 2
LCM(10,428) = 2140
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FAQs on GCF of Fractions of 836/10, 742/428
1. What is the HCF of 836,742?
The HCF of 836,742 is 2
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 836/10, 742/428?
Answer: GCF of Numerators as per given numbers 836/10, 742/428 is
GCF of Numerators i.e. for 836,742 is 2
LCM of denominators i.e. for 10,428 is 2140.
Thus, GCF of Fractions is 2/2140.Finally, GCF of Fractions for 836/10, 742/428 is 2/2140.