Highest Common Factor of 746, 879, 823 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 746, 879, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 746, 879, 823 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 746, 879, 823 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 746, 879, 823 is 1.
HCF(746, 879, 823) = 1
HCF of 746, 879, 823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 746, 879, 823 is 1.
Highest Common Factor of 746,879,823 is 1
Step 1: Since 879 > 746, we apply the division lemma to 879 and 746, to get
879 = 746 x 1 + 133
Step 2: Since the reminder 746 ≠ 0, we apply division lemma to 133 and 746, to get
746 = 133 x 5 + 81
Step 3: We consider the new divisor 133 and the new remainder 81, and apply the division lemma to get
133 = 81 x 1 + 52
We consider the new divisor 81 and the new remainder 52,and apply the division lemma to get
81 = 52 x 1 + 29
We consider the new divisor 52 and the new remainder 29,and apply the division lemma to get
52 = 29 x 1 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 746 and 879 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(52,29) = HCF(81,52) = HCF(133,81) = HCF(746,133) = HCF(879,746) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 823 > 1, we apply the division lemma to 823 and 1, to get
823 = 1 x 823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 823 is 1
Notice that 1 = HCF(823,1) .
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Frequently Asked Questions on HCF of 746, 879, 823 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 746, 879, 823?
Answer: HCF of 746, 879, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 746, 879, 823 using Euclid's Algorithm?
Answer: For arbitrary numbers 746, 879, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.