Highest Common Factor of 3523, 8136 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 3523, 8136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3523, 8136 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 3523, 8136 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 3523, 8136 is 1.
HCF(3523, 8136) = 1
HCF of 3523, 8136 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3523, 8136 is 1.
Highest Common Factor of 3523,8136 is 1
Step 1: Since 8136 > 3523, we apply the division lemma to 8136 and 3523, to get
8136 = 3523 x 2 + 1090
Step 2: Since the reminder 3523 ≠ 0, we apply division lemma to 1090 and 3523, to get
3523 = 1090 x 3 + 253
Step 3: We consider the new divisor 1090 and the new remainder 253, and apply the division lemma to get
1090 = 253 x 4 + 78
We consider the new divisor 253 and the new remainder 78,and apply the division lemma to get
253 = 78 x 3 + 19
We consider the new divisor 78 and the new remainder 19,and apply the division lemma to get
78 = 19 x 4 + 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 3523 and 8136 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(78,19) = HCF(253,78) = HCF(1090,253) = HCF(3523,1090) = HCF(8136,3523) .
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Frequently Asked Questions on HCF of 3523, 8136 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 3523, 8136?
Answer: HCF of 3523, 8136 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3523, 8136 using Euclid's Algorithm?
Answer: For arbitrary numbers 3523, 8136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.