Highest Common Factor of 763, 37873 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, 37873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 763, 37873 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, 37873 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, 37873 is 1.
HCF(763, 37873) = 1
HCF of 763, 37873 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, 37873 is 1.
Highest Common Factor of 763,37873 is 1
Step 1: Since 37873 > 763, we apply the division lemma to 37873 and 763, to get
37873 = 763 x 49 + 486
Step 2: Since the reminder 763 ≠ 0, we apply division lemma to 486 and 763, to get
763 = 486 x 1 + 277
Step 3: We consider the new divisor 486 and the new remainder 277, and apply the division lemma to get
486 = 277 x 1 + 209
We consider the new divisor 277 and the new remainder 209,and apply the division lemma to get
277 = 209 x 1 + 68
We consider the new divisor 209 and the new remainder 68,and apply the division lemma to get
209 = 68 x 3 + 5
We consider the new divisor 68 and the new remainder 5,and apply the division lemma to get
68 = 5 x 13 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 763 and 37873 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(68,5) = HCF(209,68) = HCF(277,209) = HCF(486,277) = HCF(763,486) = HCF(37873,763) .
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Frequently Asked Questions on HCF of 763, 37873 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, 37873?
Answer: HCF of 763, 37873 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 763, 37873 using Euclid's Algorithm?
Answer: For arbitrary numbers 763, 37873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
