GCF of 672/876, 196/836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 672/876, 196/836 i.e 28/183084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/876, 196/836.
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 672/876,196/836?
Given fractions are 672/876,196/836
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 672/876,196/836, numerators are 672,196
Denominators are 876,836
The GCF of 672,196 is 28 .
LCM of 876,836 is 183084.
The greatest common factor of 672/876,196/836 = [GCF of 672,196]/[LCM of 876,836]= 28/183084
Therefore, the GCF of 672/876,196/836 is 28/183084.
To find the highest common factor of 672,196, we have to find the factors of both numbers and list the highest common factor.
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The HCF of 672,196 is 28.
Lets's calculate GCF of 672,196
| 2 | 672, 196 |
| 2 | 336, 98 |
| 7 | 168, 49 |
| 24, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 672,196 By Matching Biggest Common Factor Method
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 672,196 . The biggest common factor number is the GCF number.
So the greatest common factor 672,196 is 28.
Lets's calculate LCM of 876,836
| 2 | 876, 836 |
| 2 | 438, 418 |
| 219, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 209 = 183084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/183084
Therefore, the GCF of Fractions 672/876,196/836 is 28/183084
Least Common Multiple of 876,836 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 876,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,836) x common factors =4 x 1 = 4
LCM(876,836) = ( 876 × 836 ) / 4
LCM(876,836) = 732336 / 4
LCM(876,836) = 183084
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FAQs on GCF of Fractions of 672/876, 196/836
1. What is the HCF of 672,196?
The HCF of 672,196 is 28
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 672/876, 196/836?
Answer: GCF of Numerators as per given numbers 672/876, 196/836 is
GCF of Numerators i.e. for 672,196 is 28
LCM of denominators i.e. for 876,836 is 183084.
Thus, GCF of Fractions is 28/183084.Finally, GCF of Fractions for 672/876, 196/836 is 28/183084.