GCF of 7886/224, 6036/496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7886/224, 6036/496 i.e 2/6944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7886/224, 6036/496.
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 7886/224,6036/496?
Given fractions are 7886/224,6036/496
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 7886/224,6036/496, numerators are 7886,6036
Denominators are 224,496
The GCF of 7886,6036 is 2 .
LCM of 224,496 is 6944.
The greatest common factor of 7886/224,6036/496 = [GCF of 7886,6036]/[LCM of 224,496]= 2/6944
Therefore, the GCF of 7886/224,6036/496 is 2/6944.
To find the highest common factor of 7886,6036, we have to find the factors of both numbers and list the highest common factor.
The factors of 7886 are 1, 2, 3943, 7886
The factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036
The HCF of 7886,6036 is 2.
Lets's calculate GCF of 7886,6036
| 2 | 7886, 6036 |
| 3943, 3018 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7886,6036 By Matching Biggest Common Factor Method
Now, list down the factors of 7886
:1,2,3943,7886
Now, list down the factors of 6036
:1,2,3,4,6,12,503,1006,1509,2012,3018,6036
Greatest Common Factor
We found the factors 7886,6036 . The biggest common factor number is the GCF number.
So the greatest common factor 7886,6036 is 2.
Lets's calculate LCM of 224,496
| 2 | 224, 496 |
| 2 | 112, 248 |
| 2 | 56, 124 |
| 2 | 28, 62 |
| 14, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 14 x 31 = 6944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6944
Therefore, the GCF of Fractions 7886/224,6036/496 is 2/6944
Least Common Multiple of 224,496 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 224,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,496) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(224,496) x common factors =16 x 1 = 16
LCM(224,496) = ( 224 × 496 ) / 16
LCM(224,496) = 111104 / 16
LCM(224,496) = 6944
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FAQs on GCF of Fractions of 7886/224, 6036/496
1. What is the HCF of 7886,6036?
The HCF of 7886,6036 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 7886/224, 6036/496?
Answer: GCF of Numerators as per given numbers 7886/224, 6036/496 is
GCF of Numerators i.e. for 7886,6036 is 2
LCM of denominators i.e. for 224,496 is 6944.
Thus, GCF of Fractions is 2/6944.Finally, GCF of Fractions for 7886/224, 6036/496 is 2/6944.