Highest Common Factor of 9762, 8950, 56501 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 9762, 8950, 56501 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9762, 8950, 56501 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 9762, 8950, 56501 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 9762, 8950, 56501 is 1.
HCF(9762, 8950, 56501) = 1
HCF of 9762, 8950, 56501 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9762, 8950, 56501 is 1.
Highest Common Factor of 9762,8950,56501 is 1
Step 1: Since 9762 > 8950, we apply the division lemma to 9762 and 8950, to get
9762 = 8950 x 1 + 812
Step 2: Since the reminder 8950 ≠ 0, we apply division lemma to 812 and 8950, to get
8950 = 812 x 11 + 18
Step 3: We consider the new divisor 812 and the new remainder 18, and apply the division lemma to get
812 = 18 x 45 + 2
We consider the new divisor 18 and the new remainder 2, and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9762 and 8950 is 2
Notice that 2 = HCF(18,2) = HCF(812,18) = HCF(8950,812) = HCF(9762,8950) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56501 > 2, we apply the division lemma to 56501 and 2, to get
56501 = 2 x 28250 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 56501 is 1
Notice that 1 = HCF(2,1) = HCF(56501,2) .
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Frequently Asked Questions on HCF of 9762, 8950, 56501 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 9762, 8950, 56501?
Answer: HCF of 9762, 8950, 56501 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9762, 8950, 56501 using Euclid's Algorithm?
Answer: For arbitrary numbers 9762, 8950, 56501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.