Highest Common Factor of 452, 747 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 452, 747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 452, 747 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 452, 747 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 452, 747 is 1.
HCF(452, 747) = 1
HCF of 452, 747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 452, 747 is 1.
Highest Common Factor of 452,747 is 1
Step 1: Since 747 > 452, we apply the division lemma to 747 and 452, to get
747 = 452 x 1 + 295
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 295 and 452, to get
452 = 295 x 1 + 157
Step 3: We consider the new divisor 295 and the new remainder 157, and apply the division lemma to get
295 = 157 x 1 + 138
We consider the new divisor 157 and the new remainder 138,and apply the division lemma to get
157 = 138 x 1 + 19
We consider the new divisor 138 and the new remainder 19,and apply the division lemma to get
138 = 19 x 7 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 452 and 747 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(138,19) = HCF(157,138) = HCF(295,157) = HCF(452,295) = HCF(747,452) .
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Frequently Asked Questions on HCF of 452, 747 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 452, 747?
Answer: HCF of 452, 747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 452, 747 using Euclid's Algorithm?
Answer: For arbitrary numbers 452, 747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.