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 2347, 8926 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2347, 8926 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 2347, 8926 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 2347, 8926 is 1.
HCF(2347, 8926) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2347, 8926 is 1.
Step 1: Since 8926 > 2347, we apply the division lemma to 8926 and 2347, to get
8926 = 2347 x 3 + 1885
Step 2: Since the reminder 2347 ≠ 0, we apply division lemma to 1885 and 2347, to get
2347 = 1885 x 1 + 462
Step 3: We consider the new divisor 1885 and the new remainder 462, and apply the division lemma to get
1885 = 462 x 4 + 37
We consider the new divisor 462 and the new remainder 37,and apply the division lemma to get
462 = 37 x 12 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2347 and 8926 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(462,37) = HCF(1885,462) = HCF(2347,1885) = HCF(8926,2347) .
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 2347, 8926?
Answer: HCF of 2347, 8926 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2347, 8926 using Euclid's Algorithm?
Answer: For arbitrary numbers 2347, 8926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.