Highest Common Factor of 298, 213, 628 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 298, 213, 628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 298, 213, 628 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 298, 213, 628 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 298, 213, 628 is 1.
HCF(298, 213, 628) = 1
HCF of 298, 213, 628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 298, 213, 628 is 1.
Highest Common Factor of 298,213,628 is 1
Step 1: Since 298 > 213, we apply the division lemma to 298 and 213, to get
298 = 213 x 1 + 85
Step 2: Since the reminder 213 ≠ 0, we apply division lemma to 85 and 213, to get
213 = 85 x 2 + 43
Step 3: We consider the new divisor 85 and the new remainder 43, and apply the division lemma to get
85 = 43 x 1 + 42
We consider the new divisor 43 and the new remainder 42,and apply the division lemma to get
43 = 42 x 1 + 1
We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 298 and 213 is 1
Notice that 1 = HCF(42,1) = HCF(43,42) = HCF(85,43) = HCF(213,85) = HCF(298,213) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 628 > 1, we apply the division lemma to 628 and 1, to get
628 = 1 x 628 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 628 is 1
Notice that 1 = HCF(628,1) .
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Frequently Asked Questions on HCF of 298, 213, 628 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 298, 213, 628?
Answer: HCF of 298, 213, 628 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 298, 213, 628 using Euclid's Algorithm?
Answer: For arbitrary numbers 298, 213, 628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
