Highest Common Factor of 6762, 8592 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 6762, 8592 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6762, 8592 is 6 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 6762, 8592 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 6762, 8592 is 6.
HCF(6762, 8592) = 6
HCF of 6762, 8592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6762, 8592 is 6.
Highest Common Factor of 6762,8592 is 6
Step 1: Since 8592 > 6762, we apply the division lemma to 8592 and 6762, to get
8592 = 6762 x 1 + 1830
Step 2: Since the reminder 6762 ≠ 0, we apply division lemma to 1830 and 6762, to get
6762 = 1830 x 3 + 1272
Step 3: We consider the new divisor 1830 and the new remainder 1272, and apply the division lemma to get
1830 = 1272 x 1 + 558
We consider the new divisor 1272 and the new remainder 558,and apply the division lemma to get
1272 = 558 x 2 + 156
We consider the new divisor 558 and the new remainder 156,and apply the division lemma to get
558 = 156 x 3 + 90
We consider the new divisor 156 and the new remainder 90,and apply the division lemma to get
156 = 90 x 1 + 66
We consider the new divisor 90 and the new remainder 66,and apply the division lemma to get
90 = 66 x 1 + 24
We consider the new divisor 66 and the new remainder 24,and apply the division lemma to get
66 = 24 x 2 + 18
We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get
24 = 18 x 1 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6762 and 8592 is 6
Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(66,24) = HCF(90,66) = HCF(156,90) = HCF(558,156) = HCF(1272,558) = HCF(1830,1272) = HCF(6762,1830) = HCF(8592,6762) .
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Frequently Asked Questions on HCF of 6762, 8592 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 6762, 8592?
Answer: HCF of 6762, 8592 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6762, 8592 using Euclid's Algorithm?
Answer: For arbitrary numbers 6762, 8592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.