Highest Common Factor of 563, 7032, 9379 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 563, 7032, 9379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 563, 7032, 9379 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 563, 7032, 9379 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 563, 7032, 9379 is 1.
HCF(563, 7032, 9379) = 1
HCF of 563, 7032, 9379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 563, 7032, 9379 is 1.
Highest Common Factor of 563,7032,9379 is 1
Step 1: Since 7032 > 563, we apply the division lemma to 7032 and 563, to get
7032 = 563 x 12 + 276
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 276 and 563, to get
563 = 276 x 2 + 11
Step 3: We consider the new divisor 276 and the new remainder 11, and apply the division lemma to get
276 = 11 x 25 + 1
We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 563 and 7032 is 1
Notice that 1 = HCF(11,1) = HCF(276,11) = HCF(563,276) = HCF(7032,563) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9379 > 1, we apply the division lemma to 9379 and 1, to get
9379 = 1 x 9379 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9379 is 1
Notice that 1 = HCF(9379,1) .
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Frequently Asked Questions on HCF of 563, 7032, 9379 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 563, 7032, 9379?
Answer: HCF of 563, 7032, 9379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 563, 7032, 9379 using Euclid's Algorithm?
Answer: For arbitrary numbers 563, 7032, 9379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.