Highest Common Factor of 920, 663, 390, 218 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 920, 663, 390, 218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 920, 663, 390, 218 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 920, 663, 390, 218 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 920, 663, 390, 218 is 1.
HCF(920, 663, 390, 218) = 1
HCF of 920, 663, 390, 218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 920, 663, 390, 218 is 1.
Highest Common Factor of 920,663,390,218 is 1
Step 1: Since 920 > 663, we apply the division lemma to 920 and 663, to get
920 = 663 x 1 + 257
Step 2: Since the reminder 663 ≠ 0, we apply division lemma to 257 and 663, to get
663 = 257 x 2 + 149
Step 3: We consider the new divisor 257 and the new remainder 149, and apply the division lemma to get
257 = 149 x 1 + 108
We consider the new divisor 149 and the new remainder 108,and apply the division lemma to get
149 = 108 x 1 + 41
We consider the new divisor 108 and the new remainder 41,and apply the division lemma to get
108 = 41 x 2 + 26
We consider the new divisor 41 and the new remainder 26,and apply the division lemma to get
41 = 26 x 1 + 15
We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get
26 = 15 x 1 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 920 and 663 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(41,26) = HCF(108,41) = HCF(149,108) = HCF(257,149) = HCF(663,257) = HCF(920,663) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 390 > 1, we apply the division lemma to 390 and 1, to get
390 = 1 x 390 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 390 is 1
Notice that 1 = HCF(390,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 218 > 1, we apply the division lemma to 218 and 1, to get
218 = 1 x 218 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 218 is 1
Notice that 1 = HCF(218,1) .
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Frequently Asked Questions on HCF of 920, 663, 390, 218 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 920, 663, 390, 218?
Answer: HCF of 920, 663, 390, 218 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 920, 663, 390, 218 using Euclid's Algorithm?
Answer: For arbitrary numbers 920, 663, 390, 218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
