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 698, 427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 698, 427 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 698, 427 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 698, 427 is 1.
HCF(698, 427) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 698, 427 is 1.
Step 1: Since 698 > 427, we apply the division lemma to 698 and 427, to get
698 = 427 x 1 + 271
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 271 and 427, to get
427 = 271 x 1 + 156
Step 3: We consider the new divisor 271 and the new remainder 156, and apply the division lemma to get
271 = 156 x 1 + 115
We consider the new divisor 156 and the new remainder 115,and apply the division lemma to get
156 = 115 x 1 + 41
We consider the new divisor 115 and the new remainder 41,and apply the division lemma to get
115 = 41 x 2 + 33
We consider the new divisor 41 and the new remainder 33,and apply the division lemma to get
41 = 33 x 1 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 698 and 427 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(41,33) = HCF(115,41) = HCF(156,115) = HCF(271,156) = HCF(427,271) = HCF(698,427) .
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 698, 427?
Answer: HCF of 698, 427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 698, 427 using Euclid's Algorithm?
Answer: For arbitrary numbers 698, 427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.