Highest Common Factor of 8211, 5992 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 8211, 5992 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8211, 5992 is 7 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 8211, 5992 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 8211, 5992 is 7.
HCF(8211, 5992) = 7
HCF of 8211, 5992 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8211, 5992 is 7.
Highest Common Factor of 8211,5992 is 7
Step 1: Since 8211 > 5992, we apply the division lemma to 8211 and 5992, to get
8211 = 5992 x 1 + 2219
Step 2: Since the reminder 5992 ≠ 0, we apply division lemma to 2219 and 5992, to get
5992 = 2219 x 2 + 1554
Step 3: We consider the new divisor 2219 and the new remainder 1554, and apply the division lemma to get
2219 = 1554 x 1 + 665
We consider the new divisor 1554 and the new remainder 665,and apply the division lemma to get
1554 = 665 x 2 + 224
We consider the new divisor 665 and the new remainder 224,and apply the division lemma to get
665 = 224 x 2 + 217
We consider the new divisor 224 and the new remainder 217,and apply the division lemma to get
224 = 217 x 1 + 7
We consider the new divisor 217 and the new remainder 7,and apply the division lemma to get
217 = 7 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8211 and 5992 is 7
Notice that 7 = HCF(217,7) = HCF(224,217) = HCF(665,224) = HCF(1554,665) = HCF(2219,1554) = HCF(5992,2219) = HCF(8211,5992) .
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Frequently Asked Questions on HCF of 8211, 5992 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 8211, 5992?
Answer: HCF of 8211, 5992 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8211, 5992 using Euclid's Algorithm?
Answer: For arbitrary numbers 8211, 5992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.