Highest Common Factor of 2342, 5507 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 2342, 5507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2342, 5507 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 2342, 5507 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 2342, 5507 is 1.
HCF(2342, 5507) = 1
HCF of 2342, 5507 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2342, 5507 is 1.
Highest Common Factor of 2342,5507 is 1
Step 1: Since 5507 > 2342, we apply the division lemma to 5507 and 2342, to get
5507 = 2342 x 2 + 823
Step 2: Since the reminder 2342 ≠ 0, we apply division lemma to 823 and 2342, to get
2342 = 823 x 2 + 696
Step 3: We consider the new divisor 823 and the new remainder 696, and apply the division lemma to get
823 = 696 x 1 + 127
We consider the new divisor 696 and the new remainder 127,and apply the division lemma to get
696 = 127 x 5 + 61
We consider the new divisor 127 and the new remainder 61,and apply the division lemma to get
127 = 61 x 2 + 5
We consider the new divisor 61 and the new remainder 5,and apply the division lemma to get
61 = 5 x 12 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2342 and 5507 is 1
Notice that 1 = HCF(5,1) = HCF(61,5) = HCF(127,61) = HCF(696,127) = HCF(823,696) = HCF(2342,823) = HCF(5507,2342) .
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Frequently Asked Questions on HCF of 2342, 5507 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 2342, 5507?
Answer: HCF of 2342, 5507 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2342, 5507 using Euclid's Algorithm?
Answer: For arbitrary numbers 2342, 5507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.