Highest Common Factor of 803, 657 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 803, 657 i.e. 73 the largest integer that leaves a remainder zero for all numbers.
HCF of 803, 657 is 73 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 803, 657 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 803, 657 is 73.
HCF(803, 657) = 73
HCF of 803, 657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 803, 657 is 73.
Highest Common Factor of 803,657 is 73
Step 1: Since 803 > 657, we apply the division lemma to 803 and 657, to get
803 = 657 x 1 + 146
Step 2: Since the reminder 657 ≠ 0, we apply division lemma to 146 and 657, to get
657 = 146 x 4 + 73
Step 3: We consider the new divisor 146 and the new remainder 73, and apply the division lemma to get
146 = 73 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 73, the HCF of 803 and 657 is 73
Notice that 73 = HCF(146,73) = HCF(657,146) = HCF(803,657) .
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Frequently Asked Questions on HCF of 803, 657 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 803, 657?
Answer: HCF of 803, 657 is 73 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 803, 657 using Euclid's Algorithm?
Answer: For arbitrary numbers 803, 657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.