Highest Common Factor of 810, 360, 929, 404 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 810, 360, 929, 404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 810, 360, 929, 404 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 810, 360, 929, 404 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 810, 360, 929, 404 is 1.
HCF(810, 360, 929, 404) = 1
HCF of 810, 360, 929, 404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 810, 360, 929, 404 is 1.
Highest Common Factor of 810,360,929,404 is 1
Step 1: Since 810 > 360, we apply the division lemma to 810 and 360, to get
810 = 360 x 2 + 90
Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 90 and 360, to get
360 = 90 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 90, the HCF of 810 and 360 is 90
Notice that 90 = HCF(360,90) = HCF(810,360) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 929 > 90, we apply the division lemma to 929 and 90, to get
929 = 90 x 10 + 29
Step 2: Since the reminder 90 ≠ 0, we apply division lemma to 29 and 90, to get
90 = 29 x 3 + 3
Step 3: We consider the new divisor 29 and the new remainder 3, and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 90 and 929 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(90,29) = HCF(929,90) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 404 > 1, we apply the division lemma to 404 and 1, to get
404 = 1 x 404 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 404 is 1
Notice that 1 = HCF(404,1) .
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Frequently Asked Questions on HCF of 810, 360, 929, 404 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 810, 360, 929, 404?
Answer: HCF of 810, 360, 929, 404 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 810, 360, 929, 404 using Euclid's Algorithm?
Answer: For arbitrary numbers 810, 360, 929, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.