Highest Common Factor of 2091, 5306 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 2091, 5306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2091, 5306 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 2091, 5306 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 2091, 5306 is 1.
HCF(2091, 5306) = 1
HCF of 2091, 5306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2091, 5306 is 1.
Highest Common Factor of 2091,5306 is 1
Step 1: Since 5306 > 2091, we apply the division lemma to 5306 and 2091, to get
5306 = 2091 x 2 + 1124
Step 2: Since the reminder 2091 ≠ 0, we apply division lemma to 1124 and 2091, to get
2091 = 1124 x 1 + 967
Step 3: We consider the new divisor 1124 and the new remainder 967, and apply the division lemma to get
1124 = 967 x 1 + 157
We consider the new divisor 967 and the new remainder 157,and apply the division lemma to get
967 = 157 x 6 + 25
We consider the new divisor 157 and the new remainder 25,and apply the division lemma to get
157 = 25 x 6 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 2091 and 5306 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(157,25) = HCF(967,157) = HCF(1124,967) = HCF(2091,1124) = HCF(5306,2091) .
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Frequently Asked Questions on HCF of 2091, 5306 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 2091, 5306?
Answer: HCF of 2091, 5306 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2091, 5306 using Euclid's Algorithm?
Answer: For arbitrary numbers 2091, 5306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.