Highest Common Factor of 736, 591, 343, 74 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 736, 591, 343, 74 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 736, 591, 343, 74 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 736, 591, 343, 74 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 736, 591, 343, 74 is 1.
HCF(736, 591, 343, 74) = 1
HCF of 736, 591, 343, 74 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 736, 591, 343, 74 is 1.
Highest Common Factor of 736,591,343,74 is 1
Step 1: Since 736 > 591, we apply the division lemma to 736 and 591, to get
736 = 591 x 1 + 145
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 145 and 591, to get
591 = 145 x 4 + 11
Step 3: We consider the new divisor 145 and the new remainder 11, and apply the division lemma to get
145 = 11 x 13 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 736 and 591 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(145,11) = HCF(591,145) = HCF(736,591) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 343 > 1, we apply the division lemma to 343 and 1, to get
343 = 1 x 343 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 343 is 1
Notice that 1 = HCF(343,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74 > 1, we apply the division lemma to 74 and 1, to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74 is 1
Notice that 1 = HCF(74,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 736, 591, 343, 74 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 736, 591, 343, 74?
Answer: HCF of 736, 591, 343, 74 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 736, 591, 343, 74 using Euclid's Algorithm?
Answer: For arbitrary numbers 736, 591, 343, 74 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
