Highest Common Factor of 5521, 3259 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 5521, 3259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5521, 3259 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 5521, 3259 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 5521, 3259 is 1.
HCF(5521, 3259) = 1
HCF of 5521, 3259 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5521, 3259 is 1.
Highest Common Factor of 5521,3259 is 1
Step 1: Since 5521 > 3259, we apply the division lemma to 5521 and 3259, to get
5521 = 3259 x 1 + 2262
Step 2: Since the reminder 3259 ≠ 0, we apply division lemma to 2262 and 3259, to get
3259 = 2262 x 1 + 997
Step 3: We consider the new divisor 2262 and the new remainder 997, and apply the division lemma to get
2262 = 997 x 2 + 268
We consider the new divisor 997 and the new remainder 268,and apply the division lemma to get
997 = 268 x 3 + 193
We consider the new divisor 268 and the new remainder 193,and apply the division lemma to get
268 = 193 x 1 + 75
We consider the new divisor 193 and the new remainder 75,and apply the division lemma to get
193 = 75 x 2 + 43
We consider the new divisor 75 and the new remainder 43,and apply the division lemma to get
75 = 43 x 1 + 32
We consider the new divisor 43 and the new remainder 32,and apply the division lemma to get
43 = 32 x 1 + 11
We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get
32 = 11 x 2 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5521 and 3259 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(43,32) = HCF(75,43) = HCF(193,75) = HCF(268,193) = HCF(997,268) = HCF(2262,997) = HCF(3259,2262) = HCF(5521,3259) .
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Frequently Asked Questions on HCF of 5521, 3259 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 5521, 3259?
Answer: HCF of 5521, 3259 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5521, 3259 using Euclid's Algorithm?
Answer: For arbitrary numbers 5521, 3259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
