Highest Common Factor of 2335, 1781 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 2335, 1781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2335, 1781 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 2335, 1781 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 2335, 1781 is 1.
HCF(2335, 1781) = 1
HCF of 2335, 1781 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2335, 1781 is 1.
Highest Common Factor of 2335,1781 is 1
Step 1: Since 2335 > 1781, we apply the division lemma to 2335 and 1781, to get
2335 = 1781 x 1 + 554
Step 2: Since the reminder 1781 ≠ 0, we apply division lemma to 554 and 1781, to get
1781 = 554 x 3 + 119
Step 3: We consider the new divisor 554 and the new remainder 119, and apply the division lemma to get
554 = 119 x 4 + 78
We consider the new divisor 119 and the new remainder 78,and apply the division lemma to get
119 = 78 x 1 + 41
We consider the new divisor 78 and the new remainder 41,and apply the division lemma to get
78 = 41 x 1 + 37
We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get
41 = 37 x 1 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 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 2335 and 1781 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(78,41) = HCF(119,78) = HCF(554,119) = HCF(1781,554) = HCF(2335,1781) .
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Frequently Asked Questions on HCF of 2335, 1781 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 2335, 1781?
Answer: HCF of 2335, 1781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2335, 1781 using Euclid's Algorithm?
Answer: For arbitrary numbers 2335, 1781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
