Highest Common Factor of 5333, 8696 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 5333, 8696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5333, 8696 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 5333, 8696 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 5333, 8696 is 1.
HCF(5333, 8696) = 1
HCF of 5333, 8696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5333, 8696 is 1.
Highest Common Factor of 5333,8696 is 1
Step 1: Since 8696 > 5333, we apply the division lemma to 8696 and 5333, to get
8696 = 5333 x 1 + 3363
Step 2: Since the reminder 5333 ≠ 0, we apply division lemma to 3363 and 5333, to get
5333 = 3363 x 1 + 1970
Step 3: We consider the new divisor 3363 and the new remainder 1970, and apply the division lemma to get
3363 = 1970 x 1 + 1393
We consider the new divisor 1970 and the new remainder 1393,and apply the division lemma to get
1970 = 1393 x 1 + 577
We consider the new divisor 1393 and the new remainder 577,and apply the division lemma to get
1393 = 577 x 2 + 239
We consider the new divisor 577 and the new remainder 239,and apply the division lemma to get
577 = 239 x 2 + 99
We consider the new divisor 239 and the new remainder 99,and apply the division lemma to get
239 = 99 x 2 + 41
We consider the new divisor 99 and the new remainder 41,and apply the division lemma to get
99 = 41 x 2 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5333 and 8696 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(99,41) = HCF(239,99) = HCF(577,239) = HCF(1393,577) = HCF(1970,1393) = HCF(3363,1970) = HCF(5333,3363) = HCF(8696,5333) .
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Frequently Asked Questions on HCF of 5333, 8696 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 5333, 8696?
Answer: HCF of 5333, 8696 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5333, 8696 using Euclid's Algorithm?
Answer: For arbitrary numbers 5333, 8696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.