Highest Common Factor of 2359, 2702, 92723 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 2359, 2702, 92723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2359, 2702, 92723 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 2359, 2702, 92723 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 2359, 2702, 92723 is 1.
HCF(2359, 2702, 92723) = 1
HCF of 2359, 2702, 92723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2359, 2702, 92723 is 1.
Highest Common Factor of 2359,2702,92723 is 1
Step 1: Since 2702 > 2359, we apply the division lemma to 2702 and 2359, to get
2702 = 2359 x 1 + 343
Step 2: Since the reminder 2359 ≠ 0, we apply division lemma to 343 and 2359, to get
2359 = 343 x 6 + 301
Step 3: We consider the new divisor 343 and the new remainder 301, and apply the division lemma to get
343 = 301 x 1 + 42
We consider the new divisor 301 and the new remainder 42,and apply the division lemma to get
301 = 42 x 7 + 7
We consider the new divisor 42 and the new remainder 7,and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 2359 and 2702 is 7
Notice that 7 = HCF(42,7) = HCF(301,42) = HCF(343,301) = HCF(2359,343) = HCF(2702,2359) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92723 > 7, we apply the division lemma to 92723 and 7, to get
92723 = 7 x 13246 + 1
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 1 and 7, to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 92723 is 1
Notice that 1 = HCF(7,1) = HCF(92723,7) .
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Frequently Asked Questions on HCF of 2359, 2702, 92723 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 2359, 2702, 92723?
Answer: HCF of 2359, 2702, 92723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2359, 2702, 92723 using Euclid's Algorithm?
Answer: For arbitrary numbers 2359, 2702, 92723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.