Highest Common Factor of 311, 49029 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 311, 49029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 311, 49029 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 311, 49029 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 311, 49029 is 1.
HCF(311, 49029) = 1
HCF of 311, 49029 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 311, 49029 is 1.
Highest Common Factor of 311,49029 is 1
Step 1: Since 49029 > 311, we apply the division lemma to 49029 and 311, to get
49029 = 311 x 157 + 202
Step 2: Since the reminder 311 ≠ 0, we apply division lemma to 202 and 311, to get
311 = 202 x 1 + 109
Step 3: We consider the new divisor 202 and the new remainder 109, and apply the division lemma to get
202 = 109 x 1 + 93
We consider the new divisor 109 and the new remainder 93,and apply the division lemma to get
109 = 93 x 1 + 16
We consider the new divisor 93 and the new remainder 16,and apply the division lemma to get
93 = 16 x 5 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 311 and 49029 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(93,16) = HCF(109,93) = HCF(202,109) = HCF(311,202) = HCF(49029,311) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 311, 49029 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 311, 49029?
Answer: HCF of 311, 49029 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 311, 49029 using Euclid's Algorithm?
Answer: For arbitrary numbers 311, 49029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.