Highest Common Factor of 557, 923 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, 923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 923 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, 923 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, 923 is 1.
HCF(557, 923) = 1
HCF of 557, 923 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, 923 is 1.
Highest Common Factor of 557,923 is 1
Step 1: Since 923 > 557, we apply the division lemma to 923 and 557, to get
923 = 557 x 1 + 366
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 366 and 557, to get
557 = 366 x 1 + 191
Step 3: We consider the new divisor 366 and the new remainder 191, and apply the division lemma to get
366 = 191 x 1 + 175
We consider the new divisor 191 and the new remainder 175,and apply the division lemma to get
191 = 175 x 1 + 16
We consider the new divisor 175 and the new remainder 16,and apply the division lemma to get
175 = 16 x 10 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 923 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(175,16) = HCF(191,175) = HCF(366,191) = HCF(557,366) = HCF(923,557) .
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Frequently Asked Questions on HCF of 557, 923 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, 923?
Answer: HCF of 557, 923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 923 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.