Highest Common Factor of 8376, 5033 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 8376, 5033 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8376, 5033 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 8376, 5033 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 8376, 5033 is 1.
HCF(8376, 5033) = 1
HCF of 8376, 5033 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8376, 5033 is 1.
Highest Common Factor of 8376,5033 is 1
Step 1: Since 8376 > 5033, we apply the division lemma to 8376 and 5033, to get
8376 = 5033 x 1 + 3343
Step 2: Since the reminder 5033 ≠ 0, we apply division lemma to 3343 and 5033, to get
5033 = 3343 x 1 + 1690
Step 3: We consider the new divisor 3343 and the new remainder 1690, and apply the division lemma to get
3343 = 1690 x 1 + 1653
We consider the new divisor 1690 and the new remainder 1653,and apply the division lemma to get
1690 = 1653 x 1 + 37
We consider the new divisor 1653 and the new remainder 37,and apply the division lemma to get
1653 = 37 x 44 + 25
We consider the new divisor 37 and the new remainder 25,and apply the division lemma to get
37 = 25 x 1 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8376 and 5033 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(37,25) = HCF(1653,37) = HCF(1690,1653) = HCF(3343,1690) = HCF(5033,3343) = HCF(8376,5033) .
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Frequently Asked Questions on HCF of 8376, 5033 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 8376, 5033?
Answer: HCF of 8376, 5033 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8376, 5033 using Euclid's Algorithm?
Answer: For arbitrary numbers 8376, 5033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.