Highest Common Factor of 763, 61686 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 763, 61686 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 763, 61686 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 763, 61686 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 763, 61686 is 1.
HCF(763, 61686) = 1
HCF of 763, 61686 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 763, 61686 is 1.
Highest Common Factor of 763,61686 is 1
Step 1: Since 61686 > 763, we apply the division lemma to 61686 and 763, to get
61686 = 763 x 80 + 646
Step 2: Since the reminder 763 ≠ 0, we apply division lemma to 646 and 763, to get
763 = 646 x 1 + 117
Step 3: We consider the new divisor 646 and the new remainder 117, and apply the division lemma to get
646 = 117 x 5 + 61
We consider the new divisor 117 and the new remainder 61,and apply the division lemma to get
117 = 61 x 1 + 56
We consider the new divisor 61 and the new remainder 56,and apply the division lemma to get
61 = 56 x 1 + 5
We consider the new divisor 56 and the new remainder 5,and apply the division lemma to get
56 = 5 x 11 + 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 763 and 61686 is 1
Notice that 1 = HCF(5,1) = HCF(56,5) = HCF(61,56) = HCF(117,61) = HCF(646,117) = HCF(763,646) = HCF(61686,763) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 763, 61686 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 763, 61686?
Answer: HCF of 763, 61686 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 763, 61686 using Euclid's Algorithm?
Answer: For arbitrary numbers 763, 61686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.