Highest Common Factor of 838, 690, 830 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 838, 690, 830 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 838, 690, 830 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 838, 690, 830 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 838, 690, 830 is 2.
HCF(838, 690, 830) = 2
HCF of 838, 690, 830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 838, 690, 830 is 2.
Highest Common Factor of 838,690,830 is 2
Step 1: Since 838 > 690, we apply the division lemma to 838 and 690, to get
838 = 690 x 1 + 148
Step 2: Since the reminder 690 ≠ 0, we apply division lemma to 148 and 690, to get
690 = 148 x 4 + 98
Step 3: We consider the new divisor 148 and the new remainder 98, and apply the division lemma to get
148 = 98 x 1 + 50
We consider the new divisor 98 and the new remainder 50,and apply the division lemma to get
98 = 50 x 1 + 48
We consider the new divisor 50 and the new remainder 48,and apply the division lemma to get
50 = 48 x 1 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 838 and 690 is 2
Notice that 2 = HCF(48,2) = HCF(50,48) = HCF(98,50) = HCF(148,98) = HCF(690,148) = HCF(838,690) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 830 > 2, we apply the division lemma to 830 and 2, to get
830 = 2 x 415 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 830 is 2
Notice that 2 = HCF(830,2) .
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Frequently Asked Questions on HCF of 838, 690, 830 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 838, 690, 830?
Answer: HCF of 838, 690, 830 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 838, 690, 830 using Euclid's Algorithm?
Answer: For arbitrary numbers 838, 690, 830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.