Highest Common Factor of 1182, 8092 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 1182, 8092 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1182, 8092 is 2 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 1182, 8092 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 1182, 8092 is 2.
HCF(1182, 8092) = 2
HCF of 1182, 8092 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1182, 8092 is 2.
Highest Common Factor of 1182,8092 is 2
Step 1: Since 8092 > 1182, we apply the division lemma to 8092 and 1182, to get
8092 = 1182 x 6 + 1000
Step 2: Since the reminder 1182 ≠ 0, we apply division lemma to 1000 and 1182, to get
1182 = 1000 x 1 + 182
Step 3: We consider the new divisor 1000 and the new remainder 182, and apply the division lemma to get
1000 = 182 x 5 + 90
We consider the new divisor 182 and the new remainder 90,and apply the division lemma to get
182 = 90 x 2 + 2
We consider the new divisor 90 and the new remainder 2,and apply the division lemma to get
90 = 2 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1182 and 8092 is 2
Notice that 2 = HCF(90,2) = HCF(182,90) = HCF(1000,182) = HCF(1182,1000) = HCF(8092,1182) .
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Frequently Asked Questions on HCF of 1182, 8092 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 1182, 8092?
Answer: HCF of 1182, 8092 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1182, 8092 using Euclid's Algorithm?
Answer: For arbitrary numbers 1182, 8092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.