Highest Common Factor of 923, 5303, 6862 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 923, 5303, 6862 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 923, 5303, 6862 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 923, 5303, 6862 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 923, 5303, 6862 is 1.
HCF(923, 5303, 6862) = 1
HCF of 923, 5303, 6862 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 923, 5303, 6862 is 1.
Highest Common Factor of 923,5303,6862 is 1
Step 1: Since 5303 > 923, we apply the division lemma to 5303 and 923, to get
5303 = 923 x 5 + 688
Step 2: Since the reminder 923 ≠ 0, we apply division lemma to 688 and 923, to get
923 = 688 x 1 + 235
Step 3: We consider the new divisor 688 and the new remainder 235, and apply the division lemma to get
688 = 235 x 2 + 218
We consider the new divisor 235 and the new remainder 218,and apply the division lemma to get
235 = 218 x 1 + 17
We consider the new divisor 218 and the new remainder 17,and apply the division lemma to get
218 = 17 x 12 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
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 923 and 5303 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(218,17) = HCF(235,218) = HCF(688,235) = HCF(923,688) = HCF(5303,923) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6862 > 1, we apply the division lemma to 6862 and 1, to get
6862 = 1 x 6862 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6862 is 1
Notice that 1 = HCF(6862,1) .
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Frequently Asked Questions on HCF of 923, 5303, 6862 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 923, 5303, 6862?
Answer: HCF of 923, 5303, 6862 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 923, 5303, 6862 using Euclid's Algorithm?
Answer: For arbitrary numbers 923, 5303, 6862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
