Highest Common Factor of 532, 7249 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 532, 7249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 7249 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 532, 7249 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 532, 7249 is 1.
HCF(532, 7249) = 1
HCF of 532, 7249 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 532, 7249 is 1.
Highest Common Factor of 532,7249 is 1
Step 1: Since 7249 > 532, we apply the division lemma to 7249 and 532, to get
7249 = 532 x 13 + 333
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 333 and 532, to get
532 = 333 x 1 + 199
Step 3: We consider the new divisor 333 and the new remainder 199, and apply the division lemma to get
333 = 199 x 1 + 134
We consider the new divisor 199 and the new remainder 134,and apply the division lemma to get
199 = 134 x 1 + 65
We consider the new divisor 134 and the new remainder 65,and apply the division lemma to get
134 = 65 x 2 + 4
We consider the new divisor 65 and the new remainder 4,and apply the division lemma to get
65 = 4 x 16 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 532 and 7249 is 1
Notice that 1 = HCF(4,1) = HCF(65,4) = HCF(134,65) = HCF(199,134) = HCF(333,199) = HCF(532,333) = HCF(7249,532) .
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Frequently Asked Questions on HCF of 532, 7249 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 532, 7249?
Answer: HCF of 532, 7249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 7249 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 7249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.