Highest Common Factor of 557, 336 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 557, 336 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 336 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, 336 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, 336 is 1.
HCF(557, 336) = 1
HCF of 557, 336 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 557, 336 is 1.
Highest Common Factor of 557,336 is 1
Step 1: Since 557 > 336, we apply the division lemma to 557 and 336, to get
557 = 336 x 1 + 221
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 221 and 336, to get
336 = 221 x 1 + 115
Step 3: We consider the new divisor 221 and the new remainder 115, and apply the division lemma to get
221 = 115 x 1 + 106
We consider the new divisor 115 and the new remainder 106,and apply the division lemma to get
115 = 106 x 1 + 9
We consider the new divisor 106 and the new remainder 9,and apply the division lemma to get
106 = 9 x 11 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 336 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(106,9) = HCF(115,106) = HCF(221,115) = HCF(336,221) = HCF(557,336) .
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Frequently Asked Questions on HCF of 557, 336 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 557, 336?
Answer: HCF of 557, 336 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 336 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 336 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.