Highest Common Factor of 852, 363, 747, 23 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 852, 363, 747, 23 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 852, 363, 747, 23 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 852, 363, 747, 23 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 852, 363, 747, 23 is 1.
HCF(852, 363, 747, 23) = 1
HCF of 852, 363, 747, 23 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 852, 363, 747, 23 is 1.
Highest Common Factor of 852,363,747,23 is 1
Step 1: Since 852 > 363, we apply the division lemma to 852 and 363, to get
852 = 363 x 2 + 126
Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 126 and 363, to get
363 = 126 x 2 + 111
Step 3: We consider the new divisor 126 and the new remainder 111, and apply the division lemma to get
126 = 111 x 1 + 15
We consider the new divisor 111 and the new remainder 15,and apply the division lemma to get
111 = 15 x 7 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 852 and 363 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(111,15) = HCF(126,111) = HCF(363,126) = HCF(852,363) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 747 > 3, we apply the division lemma to 747 and 3, to get
747 = 3 x 249 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 747 is 3
Notice that 3 = HCF(747,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 3, we apply the division lemma to 23 and 3, to get
23 = 3 x 7 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 23 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) .
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Frequently Asked Questions on HCF of 852, 363, 747, 23 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 852, 363, 747, 23?
Answer: HCF of 852, 363, 747, 23 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 852, 363, 747, 23 using Euclid's Algorithm?
Answer: For arbitrary numbers 852, 363, 747, 23 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.