Highest Common Factor of 749, 452 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 749, 452 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 749, 452 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 749, 452 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 749, 452 is 1.
HCF(749, 452) = 1
HCF of 749, 452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 749, 452 is 1.
Highest Common Factor of 749,452 is 1
Step 1: Since 749 > 452, we apply the division lemma to 749 and 452, to get
749 = 452 x 1 + 297
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 297 and 452, to get
452 = 297 x 1 + 155
Step 3: We consider the new divisor 297 and the new remainder 155, and apply the division lemma to get
297 = 155 x 1 + 142
We consider the new divisor 155 and the new remainder 142,and apply the division lemma to get
155 = 142 x 1 + 13
We consider the new divisor 142 and the new remainder 13,and apply the division lemma to get
142 = 13 x 10 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 749 and 452 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(142,13) = HCF(155,142) = HCF(297,155) = HCF(452,297) = HCF(749,452) .
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Frequently Asked Questions on HCF of 749, 452 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 749, 452?
Answer: HCF of 749, 452 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 749, 452 using Euclid's Algorithm?
Answer: For arbitrary numbers 749, 452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.