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 2351, 844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2351, 844 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 2351, 844 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 2351, 844 is 1.
HCF(2351, 844) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2351, 844 is 1.
Step 1: Since 2351 > 844, we apply the division lemma to 2351 and 844, to get
2351 = 844 x 2 + 663
Step 2: Since the reminder 844 ≠ 0, we apply division lemma to 663 and 844, to get
844 = 663 x 1 + 181
Step 3: We consider the new divisor 663 and the new remainder 181, and apply the division lemma to get
663 = 181 x 3 + 120
We consider the new divisor 181 and the new remainder 120,and apply the division lemma to get
181 = 120 x 1 + 61
We consider the new divisor 120 and the new remainder 61,and apply the division lemma to get
120 = 61 x 1 + 59
We consider the new divisor 61 and the new remainder 59,and apply the division lemma to get
61 = 59 x 1 + 2
We consider the new divisor 59 and the new remainder 2,and apply the division lemma to get
59 = 2 x 29 + 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 2351 and 844 is 1
Notice that 1 = HCF(2,1) = HCF(59,2) = HCF(61,59) = HCF(120,61) = HCF(181,120) = HCF(663,181) = HCF(844,663) = HCF(2351,844) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2351, 844?
Answer: HCF of 2351, 844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2351, 844 using Euclid's Algorithm?
Answer: For arbitrary numbers 2351, 844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.