Highest Common Factor of 945, 580 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 945, 580 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 945, 580 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 945, 580 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 945, 580 is 5.
HCF(945, 580) = 5
HCF of 945, 580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 945, 580 is 5.
Highest Common Factor of 945,580 is 5
Step 1: Since 945 > 580, we apply the division lemma to 945 and 580, to get
945 = 580 x 1 + 365
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 365 and 580, to get
580 = 365 x 1 + 215
Step 3: We consider the new divisor 365 and the new remainder 215, and apply the division lemma to get
365 = 215 x 1 + 150
We consider the new divisor 215 and the new remainder 150,and apply the division lemma to get
215 = 150 x 1 + 65
We consider the new divisor 150 and the new remainder 65,and apply the division lemma to get
150 = 65 x 2 + 20
We consider the new divisor 65 and the new remainder 20,and apply the division lemma to get
65 = 20 x 3 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 945 and 580 is 5
Notice that 5 = HCF(20,5) = HCF(65,20) = HCF(150,65) = HCF(215,150) = HCF(365,215) = HCF(580,365) = HCF(945,580) .
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Frequently Asked Questions on HCF of 945, 580 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 945, 580?
Answer: HCF of 945, 580 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 945, 580 using Euclid's Algorithm?
Answer: For arbitrary numbers 945, 580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.