Highest Common Factor of 990, 364, 786, 226 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 990, 364, 786, 226 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 990, 364, 786, 226 is 2 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 990, 364, 786, 226 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 990, 364, 786, 226 is 2.
HCF(990, 364, 786, 226) = 2
HCF of 990, 364, 786, 226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 990, 364, 786, 226 is 2.
Highest Common Factor of 990,364,786,226 is 2
Step 1: Since 990 > 364, we apply the division lemma to 990 and 364, to get
990 = 364 x 2 + 262
Step 2: Since the reminder 364 ≠ 0, we apply division lemma to 262 and 364, to get
364 = 262 x 1 + 102
Step 3: We consider the new divisor 262 and the new remainder 102, and apply the division lemma to get
262 = 102 x 2 + 58
We consider the new divisor 102 and the new remainder 58,and apply the division lemma to get
102 = 58 x 1 + 44
We consider the new divisor 58 and the new remainder 44,and apply the division lemma to get
58 = 44 x 1 + 14
We consider the new divisor 44 and the new remainder 14,and apply the division lemma to get
44 = 14 x 3 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 990 and 364 is 2
Notice that 2 = HCF(14,2) = HCF(44,14) = HCF(58,44) = HCF(102,58) = HCF(262,102) = HCF(364,262) = HCF(990,364) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 786 > 2, we apply the division lemma to 786 and 2, to get
786 = 2 x 393 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 786 is 2
Notice that 2 = HCF(786,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 226 > 2, we apply the division lemma to 226 and 2, to get
226 = 2 x 113 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 226 is 2
Notice that 2 = HCF(226,2) .
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Frequently Asked Questions on HCF of 990, 364, 786, 226 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 990, 364, 786, 226?
Answer: HCF of 990, 364, 786, 226 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 990, 364, 786, 226 using Euclid's Algorithm?
Answer: For arbitrary numbers 990, 364, 786, 226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.