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 1614, 8237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1614, 8237 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 1614, 8237 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 1614, 8237 is 1.
HCF(1614, 8237) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1614, 8237 is 1.
Step 1: Since 8237 > 1614, we apply the division lemma to 8237 and 1614, to get
8237 = 1614 x 5 + 167
Step 2: Since the reminder 1614 ≠ 0, we apply division lemma to 167 and 1614, to get
1614 = 167 x 9 + 111
Step 3: We consider the new divisor 167 and the new remainder 111, and apply the division lemma to get
167 = 111 x 1 + 56
We consider the new divisor 111 and the new remainder 56,and apply the division lemma to get
111 = 56 x 1 + 55
We consider the new divisor 56 and the new remainder 55,and apply the division lemma to get
56 = 55 x 1 + 1
We consider the new divisor 55 and the new remainder 1,and apply the division lemma to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1614 and 8237 is 1
Notice that 1 = HCF(55,1) = HCF(56,55) = HCF(111,56) = HCF(167,111) = HCF(1614,167) = HCF(8237,1614) .
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 1614, 8237?
Answer: HCF of 1614, 8237 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1614, 8237 using Euclid's Algorithm?
Answer: For arbitrary numbers 1614, 8237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.