Highest Common Factor of 8473, 7968 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 8473, 7968 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8473, 7968 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 8473, 7968 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 8473, 7968 is 1.
HCF(8473, 7968) = 1
HCF of 8473, 7968 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8473, 7968 is 1.
Highest Common Factor of 8473,7968 is 1
Step 1: Since 8473 > 7968, we apply the division lemma to 8473 and 7968, to get
8473 = 7968 x 1 + 505
Step 2: Since the reminder 7968 ≠ 0, we apply division lemma to 505 and 7968, to get
7968 = 505 x 15 + 393
Step 3: We consider the new divisor 505 and the new remainder 393, and apply the division lemma to get
505 = 393 x 1 + 112
We consider the new divisor 393 and the new remainder 112,and apply the division lemma to get
393 = 112 x 3 + 57
We consider the new divisor 112 and the new remainder 57,and apply the division lemma to get
112 = 57 x 1 + 55
We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get
57 = 55 x 1 + 2
We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get
55 = 2 x 27 + 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 8473 and 7968 is 1
Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(112,57) = HCF(393,112) = HCF(505,393) = HCF(7968,505) = HCF(8473,7968) .
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Frequently Asked Questions on HCF of 8473, 7968 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 8473, 7968?
Answer: HCF of 8473, 7968 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8473, 7968 using Euclid's Algorithm?
Answer: For arbitrary numbers 8473, 7968 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.