Highest Common Factor of 798, 418, 172, 731 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 798, 418, 172, 731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 798, 418, 172, 731 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 798, 418, 172, 731 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 798, 418, 172, 731 is 1.
HCF(798, 418, 172, 731) = 1
HCF of 798, 418, 172, 731 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 798, 418, 172, 731 is 1.
Highest Common Factor of 798,418,172,731 is 1
Step 1: Since 798 > 418, we apply the division lemma to 798 and 418, to get
798 = 418 x 1 + 380
Step 2: Since the reminder 418 ≠ 0, we apply division lemma to 380 and 418, to get
418 = 380 x 1 + 38
Step 3: We consider the new divisor 380 and the new remainder 38, and apply the division lemma to get
380 = 38 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 798 and 418 is 38
Notice that 38 = HCF(380,38) = HCF(418,380) = HCF(798,418) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 172 > 38, we apply the division lemma to 172 and 38, to get
172 = 38 x 4 + 20
Step 2: Since the reminder 38 ≠ 0, we apply division lemma to 20 and 38, to get
38 = 20 x 1 + 18
Step 3: We consider the new divisor 20 and the new remainder 18, and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2, and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 38 and 172 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(38,20) = HCF(172,38) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 731 > 2, we apply the division lemma to 731 and 2, to get
731 = 2 x 365 + 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 731 is 1
Notice that 1 = HCF(2,1) = HCF(731,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 798, 418, 172, 731 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 798, 418, 172, 731?
Answer: HCF of 798, 418, 172, 731 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 798, 418, 172, 731 using Euclid's Algorithm?
Answer: For arbitrary numbers 798, 418, 172, 731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.