Highest Common Factor of 719, 421, 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 719, 421, 628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 719, 421, 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 719, 421, 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 719, 421, 628 is 1.
HCF(719, 421, 628) = 1
HCF of 719, 421, 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 719, 421, 628 is 1.
Highest Common Factor of 719,421,628 is 1
Step 1: Since 719 > 421, we apply the division lemma to 719 and 421, to get
719 = 421 x 1 + 298
Step 2: Since the reminder 421 ≠ 0, we apply division lemma to 298 and 421, to get
421 = 298 x 1 + 123
Step 3: We consider the new divisor 298 and the new remainder 123, and apply the division lemma to get
298 = 123 x 2 + 52
We consider the new divisor 123 and the new remainder 52,and apply the division lemma to get
123 = 52 x 2 + 19
We consider the new divisor 52 and the new remainder 19,and apply the division lemma to get
52 = 19 x 2 + 14
We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get
19 = 14 x 1 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 719 and 421 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(52,19) = HCF(123,52) = HCF(298,123) = HCF(421,298) = HCF(719,421) .
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) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 719, 421, 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 719, 421, 628?
Answer: HCF of 719, 421, 628 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 719, 421, 628 using Euclid's Algorithm?
Answer: For arbitrary numbers 719, 421, 628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.