Highest Common Factor of 575, 360, 90 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 575, 360, 90 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 575, 360, 90 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 575, 360, 90 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 575, 360, 90 is 5.
HCF(575, 360, 90) = 5
HCF of 575, 360, 90 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 575, 360, 90 is 5.
Highest Common Factor of 575,360,90 is 5
Step 1: Since 575 > 360, we apply the division lemma to 575 and 360, to get
575 = 360 x 1 + 215
Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 215 and 360, to get
360 = 215 x 1 + 145
Step 3: We consider the new divisor 215 and the new remainder 145, and apply the division lemma to get
215 = 145 x 1 + 70
We consider the new divisor 145 and the new remainder 70,and apply the division lemma to get
145 = 70 x 2 + 5
We consider the new divisor 70 and the new remainder 5,and apply the division lemma to get
70 = 5 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 575 and 360 is 5
Notice that 5 = HCF(70,5) = HCF(145,70) = HCF(215,145) = HCF(360,215) = HCF(575,360) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90 > 5, we apply the division lemma to 90 and 5, to get
90 = 5 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 90 is 5
Notice that 5 = HCF(90,5) .
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Frequently Asked Questions on HCF of 575, 360, 90 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 575, 360, 90?
Answer: HCF of 575, 360, 90 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 575, 360, 90 using Euclid's Algorithm?
Answer: For arbitrary numbers 575, 360, 90 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.