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 686, 928 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 686, 928 is 2 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 686, 928 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 686, 928 is 2.
HCF(686, 928) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 686, 928 is 2.
Step 1: Since 928 > 686, we apply the division lemma to 928 and 686, to get
928 = 686 x 1 + 242
Step 2: Since the reminder 686 ≠ 0, we apply division lemma to 242 and 686, to get
686 = 242 x 2 + 202
Step 3: We consider the new divisor 242 and the new remainder 202, and apply the division lemma to get
242 = 202 x 1 + 40
We consider the new divisor 202 and the new remainder 40,and apply the division lemma to get
202 = 40 x 5 + 2
We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 686 and 928 is 2
Notice that 2 = HCF(40,2) = HCF(202,40) = HCF(242,202) = HCF(686,242) = HCF(928,686) .
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 686, 928?
Answer: HCF of 686, 928 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 686, 928 using Euclid's Algorithm?
Answer: For arbitrary numbers 686, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.