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 731, 3169, 5355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 3169, 5355 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 731, 3169, 5355 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 731, 3169, 5355 is 1.
HCF(731, 3169, 5355) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 731, 3169, 5355 is 1.
Step 1: Since 3169 > 731, we apply the division lemma to 3169 and 731, to get
3169 = 731 x 4 + 245
Step 2: Since the reminder 731 ≠ 0, we apply division lemma to 245 and 731, to get
731 = 245 x 2 + 241
Step 3: We consider the new divisor 245 and the new remainder 241, and apply the division lemma to get
245 = 241 x 1 + 4
We consider the new divisor 241 and the new remainder 4,and apply the division lemma to get
241 = 4 x 60 + 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 731 and 3169 is 1
Notice that 1 = HCF(4,1) = HCF(241,4) = HCF(245,241) = HCF(731,245) = HCF(3169,731) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5355 > 1, we apply the division lemma to 5355 and 1, to get
5355 = 1 x 5355 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5355 is 1
Notice that 1 = HCF(5355,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 731, 3169, 5355?
Answer: HCF of 731, 3169, 5355 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 3169, 5355 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 3169, 5355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.