Highest Common Factor of 7382, 829 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 7382, 829 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7382, 829 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 7382, 829 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 7382, 829 is 1.
HCF(7382, 829) = 1
HCF of 7382, 829 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7382, 829 is 1.
Highest Common Factor of 7382,829 is 1
Step 1: Since 7382 > 829, we apply the division lemma to 7382 and 829, to get
7382 = 829 x 8 + 750
Step 2: Since the reminder 829 ≠ 0, we apply division lemma to 750 and 829, to get
829 = 750 x 1 + 79
Step 3: We consider the new divisor 750 and the new remainder 79, and apply the division lemma to get
750 = 79 x 9 + 39
We consider the new divisor 79 and the new remainder 39,and apply the division lemma to get
79 = 39 x 2 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7382 and 829 is 1
Notice that 1 = HCF(39,1) = HCF(79,39) = HCF(750,79) = HCF(829,750) = HCF(7382,829) .
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Frequently Asked Questions on HCF of 7382, 829 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 7382, 829?
Answer: HCF of 7382, 829 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7382, 829 using Euclid's Algorithm?
Answer: For arbitrary numbers 7382, 829 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.