Highest Common Factor of 6992, 8463 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 6992, 8463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6992, 8463 is 1 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 6992, 8463 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 6992, 8463 is 1.
HCF(6992, 8463) = 1
HCF of 6992, 8463 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6992, 8463 is 1.
Highest Common Factor of 6992,8463 is 1
Step 1: Since 8463 > 6992, we apply the division lemma to 8463 and 6992, to get
8463 = 6992 x 1 + 1471
Step 2: Since the reminder 6992 ≠ 0, we apply division lemma to 1471 and 6992, to get
6992 = 1471 x 4 + 1108
Step 3: We consider the new divisor 1471 and the new remainder 1108, and apply the division lemma to get
1471 = 1108 x 1 + 363
We consider the new divisor 1108 and the new remainder 363,and apply the division lemma to get
1108 = 363 x 3 + 19
We consider the new divisor 363 and the new remainder 19,and apply the division lemma to get
363 = 19 x 19 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6992 and 8463 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(363,19) = HCF(1108,363) = HCF(1471,1108) = HCF(6992,1471) = HCF(8463,6992) .
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Frequently Asked Questions on HCF of 6992, 8463 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 6992, 8463?
Answer: HCF of 6992, 8463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6992, 8463 using Euclid's Algorithm?
Answer: For arbitrary numbers 6992, 8463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.