Highest Common Factor of 801, 658, 38 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 801, 658, 38 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 801, 658, 38 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 801, 658, 38 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 801, 658, 38 is 1.
HCF(801, 658, 38) = 1
HCF of 801, 658, 38 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 801, 658, 38 is 1.
Highest Common Factor of 801,658,38 is 1
Step 1: Since 801 > 658, we apply the division lemma to 801 and 658, to get
801 = 658 x 1 + 143
Step 2: Since the reminder 658 ≠ 0, we apply division lemma to 143 and 658, to get
658 = 143 x 4 + 86
Step 3: We consider the new divisor 143 and the new remainder 86, and apply the division lemma to get
143 = 86 x 1 + 57
We consider the new divisor 86 and the new remainder 57,and apply the division lemma to get
86 = 57 x 1 + 29
We consider the new divisor 57 and the new remainder 29,and apply the division lemma to get
57 = 29 x 1 + 28
We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get
29 = 28 x 1 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 801 and 658 is 1
Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(57,29) = HCF(86,57) = HCF(143,86) = HCF(658,143) = HCF(801,658) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38 > 1, we apply the division lemma to 38 and 1, to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38 is 1
Notice that 1 = HCF(38,1) .
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Frequently Asked Questions on HCF of 801, 658, 38 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 801, 658, 38?
Answer: HCF of 801, 658, 38 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 801, 658, 38 using Euclid's Algorithm?
Answer: For arbitrary numbers 801, 658, 38 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.