Highest Common Factor of 8592, 6722 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 8592, 6722 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8592, 6722 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 8592, 6722 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 8592, 6722 is 2.
HCF(8592, 6722) = 2
HCF of 8592, 6722 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8592, 6722 is 2.
Highest Common Factor of 8592,6722 is 2
Step 1: Since 8592 > 6722, we apply the division lemma to 8592 and 6722, to get
8592 = 6722 x 1 + 1870
Step 2: Since the reminder 6722 ≠ 0, we apply division lemma to 1870 and 6722, to get
6722 = 1870 x 3 + 1112
Step 3: We consider the new divisor 1870 and the new remainder 1112, and apply the division lemma to get
1870 = 1112 x 1 + 758
We consider the new divisor 1112 and the new remainder 758,and apply the division lemma to get
1112 = 758 x 1 + 354
We consider the new divisor 758 and the new remainder 354,and apply the division lemma to get
758 = 354 x 2 + 50
We consider the new divisor 354 and the new remainder 50,and apply the division lemma to get
354 = 50 x 7 + 4
We consider the new divisor 50 and the new remainder 4,and apply the division lemma to get
50 = 4 x 12 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8592 and 6722 is 2
Notice that 2 = HCF(4,2) = HCF(50,4) = HCF(354,50) = HCF(758,354) = HCF(1112,758) = HCF(1870,1112) = HCF(6722,1870) = HCF(8592,6722) .
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Frequently Asked Questions on HCF of 8592, 6722 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 8592, 6722?
Answer: HCF of 8592, 6722 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8592, 6722 using Euclid's Algorithm?
Answer: For arbitrary numbers 8592, 6722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
