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 557, 362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 362 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 557, 362 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 557, 362 is 1.
HCF(557, 362) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 557, 362 is 1.
Step 1: Since 557 > 362, we apply the division lemma to 557 and 362, to get
557 = 362 x 1 + 195
Step 2: Since the reminder 362 ≠ 0, we apply division lemma to 195 and 362, to get
362 = 195 x 1 + 167
Step 3: We consider the new divisor 195 and the new remainder 167, and apply the division lemma to get
195 = 167 x 1 + 28
We consider the new divisor 167 and the new remainder 28,and apply the division lemma to get
167 = 28 x 5 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 362 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(167,28) = HCF(195,167) = HCF(362,195) = HCF(557,362) .
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 557, 362?
Answer: HCF of 557, 362 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 362 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.