Highest Common Factor of 5216, 3534 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 5216, 3534 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5216, 3534 is 2 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 5216, 3534 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 5216, 3534 is 2.
HCF(5216, 3534) = 2
HCF of 5216, 3534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5216, 3534 is 2.
Highest Common Factor of 5216,3534 is 2
Step 1: Since 5216 > 3534, we apply the division lemma to 5216 and 3534, to get
5216 = 3534 x 1 + 1682
Step 2: Since the reminder 3534 ≠ 0, we apply division lemma to 1682 and 3534, to get
3534 = 1682 x 2 + 170
Step 3: We consider the new divisor 1682 and the new remainder 170, and apply the division lemma to get
1682 = 170 x 9 + 152
We consider the new divisor 170 and the new remainder 152,and apply the division lemma to get
170 = 152 x 1 + 18
We consider the new divisor 152 and the new remainder 18,and apply the division lemma to get
152 = 18 x 8 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5216 and 3534 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(152,18) = HCF(170,152) = HCF(1682,170) = HCF(3534,1682) = HCF(5216,3534) .
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Frequently Asked Questions on HCF of 5216, 3534 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 5216, 3534?
Answer: HCF of 5216, 3534 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5216, 3534 using Euclid's Algorithm?
Answer: For arbitrary numbers 5216, 3534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.