Highest Common Factor of 628, 742, 199 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 628, 742, 199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 742, 199 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 628, 742, 199 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 628, 742, 199 is 1.
HCF(628, 742, 199) = 1
HCF of 628, 742, 199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 742, 199 is 1.
Highest Common Factor of 628,742,199 is 1
Step 1: Since 742 > 628, we apply the division lemma to 742 and 628, to get
742 = 628 x 1 + 114
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 114 and 628, to get
628 = 114 x 5 + 58
Step 3: We consider the new divisor 114 and the new remainder 58, and apply the division lemma to get
114 = 58 x 1 + 56
We consider the new divisor 58 and the new remainder 56,and apply the division lemma to get
58 = 56 x 1 + 2
We consider the new divisor 56 and the new remainder 2,and apply the division lemma to get
56 = 2 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 628 and 742 is 2
Notice that 2 = HCF(56,2) = HCF(58,56) = HCF(114,58) = HCF(628,114) = HCF(742,628) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 199 > 2, we apply the division lemma to 199 and 2, to get
199 = 2 x 99 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 199 is 1
Notice that 1 = HCF(2,1) = HCF(199,2) .
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Frequently Asked Questions on HCF of 628, 742, 199 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 628, 742, 199?
Answer: HCF of 628, 742, 199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 742, 199 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 742, 199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.