Highest Common Factor of 744, 674, 881, 361 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 744, 674, 881, 361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 674, 881, 361 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 744, 674, 881, 361 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 744, 674, 881, 361 is 1.
HCF(744, 674, 881, 361) = 1
HCF of 744, 674, 881, 361 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 674, 881, 361 is 1.
Highest Common Factor of 744,674,881,361 is 1
Step 1: Since 744 > 674, we apply the division lemma to 744 and 674, to get
744 = 674 x 1 + 70
Step 2: Since the reminder 674 ≠ 0, we apply division lemma to 70 and 674, to get
674 = 70 x 9 + 44
Step 3: We consider the new divisor 70 and the new remainder 44, and apply the division lemma to get
70 = 44 x 1 + 26
We consider the new divisor 44 and the new remainder 26,and apply the division lemma to get
44 = 26 x 1 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 744 and 674 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(44,26) = HCF(70,44) = HCF(674,70) = HCF(744,674) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 881 > 2, we apply the division lemma to 881 and 2, to get
881 = 2 x 440 + 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 881 is 1
Notice that 1 = HCF(2,1) = HCF(881,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 361 > 1, we apply the division lemma to 361 and 1, to get
361 = 1 x 361 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 361 is 1
Notice that 1 = HCF(361,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 744, 674, 881, 361 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 744, 674, 881, 361?
Answer: HCF of 744, 674, 881, 361 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 674, 881, 361 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 674, 881, 361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.