Highest Common Factor of 761, 19539 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, 19539 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 761, 19539 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, 19539 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, 19539 is 1.
HCF(761, 19539) = 1
HCF of 761, 19539 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, 19539 is 1.
Highest Common Factor of 761,19539 is 1
Step 1: Since 19539 > 761, we apply the division lemma to 19539 and 761, to get
19539 = 761 x 25 + 514
Step 2: Since the reminder 761 ≠ 0, we apply division lemma to 514 and 761, to get
761 = 514 x 1 + 247
Step 3: We consider the new divisor 514 and the new remainder 247, and apply the division lemma to get
514 = 247 x 2 + 20
We consider the new divisor 247 and the new remainder 20,and apply the division lemma to get
247 = 20 x 12 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 761 and 19539 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(247,20) = HCF(514,247) = HCF(761,514) = HCF(19539,761) .
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Frequently Asked Questions on HCF of 761, 19539 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, 19539?
Answer: HCF of 761, 19539 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 761, 19539 using Euclid's Algorithm?
Answer: For arbitrary numbers 761, 19539 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.