GCF of 416/116, 1102/364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 416/116, 1102/364 i.e 2/10556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/116, 1102/364.
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 416/116,1102/364?
Given fractions are 416/116,1102/364
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 416/116,1102/364, numerators are 416,1102
Denominators are 116,364
The GCF of 416,1102 is 2 .
LCM of 116,364 is 10556.
The greatest common factor of 416/116,1102/364 = [GCF of 416,1102]/[LCM of 116,364]= 2/10556
Therefore, the GCF of 416/116,1102/364 is 2/10556.
To find the highest common factor of 416,1102, we have to find the factors of both numbers and list the highest common factor.
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102
The HCF of 416,1102 is 2.
Lets's calculate GCF of 416,1102
| 2 | 416, 1102 |
| 208, 551 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 416,1102 By Matching Biggest Common Factor Method
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Now, list down the factors of 1102
:1,2,19,29,38,58,551,1102
Greatest Common Factor
We found the factors 416,1102 . The biggest common factor number is the GCF number.
So the greatest common factor 416,1102 is 2.
Lets's calculate LCM of 116,364
| 2 | 116, 364 |
| 2 | 58, 182 |
| 29, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 91 = 10556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10556
Therefore, the GCF of Fractions 416/116,1102/364 is 2/10556
Least Common Multiple of 116,364 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 116,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,364) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,364) x common factors =4 x 1 = 4
LCM(116,364) = ( 116 × 364 ) / 4
LCM(116,364) = 42224 / 4
LCM(116,364) = 10556
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FAQs on GCF of Fractions of 416/116, 1102/364
1. What is the HCF of 416,1102?
The HCF of 416,1102 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 416/116, 1102/364?
Answer: GCF of Numerators as per given numbers 416/116, 1102/364 is
GCF of Numerators i.e. for 416,1102 is 2
LCM of denominators i.e. for 116,364 is 10556.
Thus, GCF of Fractions is 2/10556.Finally, GCF of Fractions for 416/116, 1102/364 is 2/10556.