Highest Common Factor of 221, 385 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 221, 385 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 221, 385 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 221, 385 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 221, 385 is 1.
HCF(221, 385) = 1
HCF of 221, 385 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 221, 385 is 1.
Highest Common Factor of 221,385 is 1
Step 1: Since 385 > 221, we apply the division lemma to 385 and 221, to get
385 = 221 x 1 + 164
Step 2: Since the reminder 221 ≠ 0, we apply division lemma to 164 and 221, to get
221 = 164 x 1 + 57
Step 3: We consider the new divisor 164 and the new remainder 57, and apply the division lemma to get
164 = 57 x 2 + 50
We consider the new divisor 57 and the new remainder 50,and apply the division lemma to get
57 = 50 x 1 + 7
We consider the new divisor 50 and the new remainder 7,and apply the division lemma to get
50 = 7 x 7 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 221 and 385 is 1
Notice that 1 = HCF(7,1) = HCF(50,7) = HCF(57,50) = HCF(164,57) = HCF(221,164) = HCF(385,221) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 221, 385 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 221, 385?
Answer: HCF of 221, 385 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 221, 385 using Euclid's Algorithm?
Answer: For arbitrary numbers 221, 385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.