Highest Common Factor of 838, 733, 572, 70 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, 733, 572, 70 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 838, 733, 572, 70 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 838, 733, 572, 70 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, 733, 572, 70 is 1.
HCF(838, 733, 572, 70) = 1
HCF of 838, 733, 572, 70 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, 733, 572, 70 is 1.
Highest Common Factor of 838,733,572,70 is 1
Step 1: Since 838 > 733, we apply the division lemma to 838 and 733, to get
838 = 733 x 1 + 105
Step 2: Since the reminder 733 ≠ 0, we apply division lemma to 105 and 733, to get
733 = 105 x 6 + 103
Step 3: We consider the new divisor 105 and the new remainder 103, and apply the division lemma to get
105 = 103 x 1 + 2
We consider the new divisor 103 and the new remainder 2,and apply the division lemma to get
103 = 2 x 51 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 838 and 733 is 1
Notice that 1 = HCF(2,1) = HCF(103,2) = HCF(105,103) = HCF(733,105) = HCF(838,733) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 572 > 1, we apply the division lemma to 572 and 1, to get
572 = 1 x 572 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 572 is 1
Notice that 1 = HCF(572,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70 > 1, we apply the division lemma to 70 and 1, to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70 is 1
Notice that 1 = HCF(70,1) .
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Frequently Asked Questions on HCF of 838, 733, 572, 70 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, 733, 572, 70?
Answer: HCF of 838, 733, 572, 70 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 838, 733, 572, 70 using Euclid's Algorithm?
Answer: For arbitrary numbers 838, 733, 572, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.