Highest Common Factor of 527, 9781 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 527, 9781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 9781 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 527, 9781 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 527, 9781 is 1.
HCF(527, 9781) = 1
HCF of 527, 9781 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 527, 9781 is 1.
Highest Common Factor of 527,9781 is 1
Step 1: Since 9781 > 527, we apply the division lemma to 9781 and 527, to get
9781 = 527 x 18 + 295
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 295 and 527, to get
527 = 295 x 1 + 232
Step 3: We consider the new divisor 295 and the new remainder 232, and apply the division lemma to get
295 = 232 x 1 + 63
We consider the new divisor 232 and the new remainder 63,and apply the division lemma to get
232 = 63 x 3 + 43
We consider the new divisor 63 and the new remainder 43,and apply the division lemma to get
63 = 43 x 1 + 20
We consider the new divisor 43 and the new remainder 20,and apply the division lemma to get
43 = 20 x 2 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 527 and 9781 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(43,20) = HCF(63,43) = HCF(232,63) = HCF(295,232) = HCF(527,295) = HCF(9781,527) .
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Frequently Asked Questions on HCF of 527, 9781 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 527, 9781?
Answer: HCF of 527, 9781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 9781 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 9781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.