Highest Common Factor of 827, 492, 662, 320 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 827, 492, 662, 320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 827, 492, 662, 320 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 827, 492, 662, 320 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 827, 492, 662, 320 is 1.
HCF(827, 492, 662, 320) = 1
HCF of 827, 492, 662, 320 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 827, 492, 662, 320 is 1.
Highest Common Factor of 827,492,662,320 is 1
Step 1: Since 827 > 492, we apply the division lemma to 827 and 492, to get
827 = 492 x 1 + 335
Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 335 and 492, to get
492 = 335 x 1 + 157
Step 3: We consider the new divisor 335 and the new remainder 157, and apply the division lemma to get
335 = 157 x 2 + 21
We consider the new divisor 157 and the new remainder 21,and apply the division lemma to get
157 = 21 x 7 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 492 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(157,21) = HCF(335,157) = HCF(492,335) = HCF(827,492) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 662 > 1, we apply the division lemma to 662 and 1, to get
662 = 1 x 662 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 662 is 1
Notice that 1 = HCF(662,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 320 > 1, we apply the division lemma to 320 and 1, to get
320 = 1 x 320 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 320 is 1
Notice that 1 = HCF(320,1) .
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Frequently Asked Questions on HCF of 827, 492, 662, 320 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 827, 492, 662, 320?
Answer: HCF of 827, 492, 662, 320 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 827, 492, 662, 320 using Euclid's Algorithm?
Answer: For arbitrary numbers 827, 492, 662, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
