Highest Common Factor of 8168, 9296 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 8168, 9296 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8168, 9296 is 8 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 8168, 9296 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 8168, 9296 is 8.
HCF(8168, 9296) = 8
HCF of 8168, 9296 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8168, 9296 is 8.
Highest Common Factor of 8168,9296 is 8
Step 1: Since 9296 > 8168, we apply the division lemma to 9296 and 8168, to get
9296 = 8168 x 1 + 1128
Step 2: Since the reminder 8168 ≠ 0, we apply division lemma to 1128 and 8168, to get
8168 = 1128 x 7 + 272
Step 3: We consider the new divisor 1128 and the new remainder 272, and apply the division lemma to get
1128 = 272 x 4 + 40
We consider the new divisor 272 and the new remainder 40,and apply the division lemma to get
272 = 40 x 6 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8168 and 9296 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(272,40) = HCF(1128,272) = HCF(8168,1128) = HCF(9296,8168) .
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Frequently Asked Questions on HCF of 8168, 9296 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 8168, 9296?
Answer: HCF of 8168, 9296 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8168, 9296 using Euclid's Algorithm?
Answer: For arbitrary numbers 8168, 9296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.