Highest Common Factor of 894, 655 using Euclid's algorithm
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 894, 655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 894, 655 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 894, 655 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 894, 655 is 1.
HCF(894, 655) = 1
HCF of 894, 655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 894, 655 is 1.
Highest Common Factor of 894,655 is 1
Step 1: Since 894 > 655, we apply the division lemma to 894 and 655, to get
894 = 655 x 1 + 239
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 239 and 655, to get
655 = 239 x 2 + 177
Step 3: We consider the new divisor 239 and the new remainder 177, and apply the division lemma to get
239 = 177 x 1 + 62
We consider the new divisor 177 and the new remainder 62,and apply the division lemma to get
177 = 62 x 2 + 53
We consider the new divisor 62 and the new remainder 53,and apply the division lemma to get
62 = 53 x 1 + 9
We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get
53 = 9 x 5 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 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 894 and 655 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(62,53) = HCF(177,62) = HCF(239,177) = HCF(655,239) = HCF(894,655) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 894, 655 using Euclid's Algorithm
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 894, 655?
Answer: HCF of 894, 655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 894, 655 using Euclid's Algorithm?
Answer: For arbitrary numbers 894, 655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.