Highest Common Factor of 761, 23349 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 761, 23349 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 761, 23349 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 761, 23349 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 761, 23349 is 1.
HCF(761, 23349) = 1
HCF of 761, 23349 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 761, 23349 is 1.
Highest Common Factor of 761,23349 is 1
Step 1: Since 23349 > 761, we apply the division lemma to 23349 and 761, to get
23349 = 761 x 30 + 519
Step 2: Since the reminder 761 ≠ 0, we apply division lemma to 519 and 761, to get
761 = 519 x 1 + 242
Step 3: We consider the new divisor 519 and the new remainder 242, and apply the division lemma to get
519 = 242 x 2 + 35
We consider the new divisor 242 and the new remainder 35,and apply the division lemma to get
242 = 35 x 6 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 761 and 23349 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(242,35) = HCF(519,242) = HCF(761,519) = HCF(23349,761) .
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Frequently Asked Questions on HCF of 761, 23349 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 761, 23349?
Answer: HCF of 761, 23349 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 761, 23349 using Euclid's Algorithm?
Answer: For arbitrary numbers 761, 23349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.