Highest Common Factor of 769, 20240 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 769, 20240 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 769, 20240 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 769, 20240 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 769, 20240 is 1.
HCF(769, 20240) = 1
HCF of 769, 20240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 769, 20240 is 1.
Highest Common Factor of 769,20240 is 1
Step 1: Since 20240 > 769, we apply the division lemma to 20240 and 769, to get
20240 = 769 x 26 + 246
Step 2: Since the reminder 769 ≠ 0, we apply division lemma to 246 and 769, to get
769 = 246 x 3 + 31
Step 3: We consider the new divisor 246 and the new remainder 31, and apply the division lemma to get
246 = 31 x 7 + 29
We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get
31 = 29 x 1 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 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 769 and 20240 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(246,31) = HCF(769,246) = HCF(20240,769) .
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Frequently Asked Questions on HCF of 769, 20240 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 769, 20240?
Answer: HCF of 769, 20240 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 769, 20240 using Euclid's Algorithm?
Answer: For arbitrary numbers 769, 20240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.