Highest Common Factor of 911, 13914 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 911, 13914 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 13914 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 911, 13914 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 911, 13914 is 1.
HCF(911, 13914) = 1
HCF of 911, 13914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 13914 is 1.
Highest Common Factor of 911,13914 is 1
Step 1: Since 13914 > 911, we apply the division lemma to 13914 and 911, to get
13914 = 911 x 15 + 249
Step 2: Since the reminder 911 ≠ 0, we apply division lemma to 249 and 911, to get
911 = 249 x 3 + 164
Step 3: We consider the new divisor 249 and the new remainder 164, and apply the division lemma to get
249 = 164 x 1 + 85
We consider the new divisor 164 and the new remainder 85,and apply the division lemma to get
164 = 85 x 1 + 79
We consider the new divisor 85 and the new remainder 79,and apply the division lemma to get
85 = 79 x 1 + 6
We consider the new divisor 79 and the new remainder 6,and apply the division lemma to get
79 = 6 x 13 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 13914 is 1
Notice that 1 = HCF(6,1) = HCF(79,6) = HCF(85,79) = HCF(164,85) = HCF(249,164) = HCF(911,249) = HCF(13914,911) .
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Frequently Asked Questions on HCF of 911, 13914 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 911, 13914?
Answer: HCF of 911, 13914 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 13914 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 13914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.