Highest Common Factor of 565, 81480 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 565, 81480 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 565, 81480 is 5 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 565, 81480 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 565, 81480 is 5.
HCF(565, 81480) = 5
HCF of 565, 81480 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 565, 81480 is 5.
Highest Common Factor of 565,81480 is 5
Step 1: Since 81480 > 565, we apply the division lemma to 81480 and 565, to get
81480 = 565 x 144 + 120
Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 120 and 565, to get
565 = 120 x 4 + 85
Step 3: We consider the new divisor 120 and the new remainder 85, and apply the division lemma to get
120 = 85 x 1 + 35
We consider the new divisor 85 and the new remainder 35,and apply the division lemma to get
85 = 35 x 2 + 15
We consider the new divisor 35 and the new remainder 15,and apply the division lemma to get
35 = 15 x 2 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 565 and 81480 is 5
Notice that 5 = HCF(15,5) = HCF(35,15) = HCF(85,35) = HCF(120,85) = HCF(565,120) = HCF(81480,565) .
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Frequently Asked Questions on HCF of 565, 81480 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 565, 81480?
Answer: HCF of 565, 81480 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 565, 81480 using Euclid's Algorithm?
Answer: For arbitrary numbers 565, 81480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.