Highest Common Factor of 509, 841 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 509, 841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 509, 841 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 509, 841 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 509, 841 is 1.
HCF(509, 841) = 1
HCF of 509, 841 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 509, 841 is 1.
Highest Common Factor of 509,841 is 1
Step 1: Since 841 > 509, we apply the division lemma to 841 and 509, to get
841 = 509 x 1 + 332
Step 2: Since the reminder 509 ≠ 0, we apply division lemma to 332 and 509, to get
509 = 332 x 1 + 177
Step 3: We consider the new divisor 332 and the new remainder 177, and apply the division lemma to get
332 = 177 x 1 + 155
We consider the new divisor 177 and the new remainder 155,and apply the division lemma to get
177 = 155 x 1 + 22
We consider the new divisor 155 and the new remainder 22,and apply the division lemma to get
155 = 22 x 7 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 509 and 841 is 1
Notice that 1 = HCF(22,1) = HCF(155,22) = HCF(177,155) = HCF(332,177) = HCF(509,332) = HCF(841,509) .
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Frequently Asked Questions on HCF of 509, 841 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 509, 841?
Answer: HCF of 509, 841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 509, 841 using Euclid's Algorithm?
Answer: For arbitrary numbers 509, 841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.