Highest Common Factor of 6212, 8800 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 6212, 8800 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6212, 8800 is 4 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 6212, 8800 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 6212, 8800 is 4.
HCF(6212, 8800) = 4
HCF of 6212, 8800 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6212, 8800 is 4.
Highest Common Factor of 6212,8800 is 4
Step 1: Since 8800 > 6212, we apply the division lemma to 8800 and 6212, to get
8800 = 6212 x 1 + 2588
Step 2: Since the reminder 6212 ≠ 0, we apply division lemma to 2588 and 6212, to get
6212 = 2588 x 2 + 1036
Step 3: We consider the new divisor 2588 and the new remainder 1036, and apply the division lemma to get
2588 = 1036 x 2 + 516
We consider the new divisor 1036 and the new remainder 516,and apply the division lemma to get
1036 = 516 x 2 + 4
We consider the new divisor 516 and the new remainder 4,and apply the division lemma to get
516 = 4 x 129 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6212 and 8800 is 4
Notice that 4 = HCF(516,4) = HCF(1036,516) = HCF(2588,1036) = HCF(6212,2588) = HCF(8800,6212) .
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Frequently Asked Questions on HCF of 6212, 8800 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 6212, 8800?
Answer: HCF of 6212, 8800 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6212, 8800 using Euclid's Algorithm?
Answer: For arbitrary numbers 6212, 8800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.