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 717, 6115, 6434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 717, 6115, 6434 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 717, 6115, 6434 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 717, 6115, 6434 is 1.
HCF(717, 6115, 6434) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 717, 6115, 6434 is 1.
Step 1: Since 6115 > 717, we apply the division lemma to 6115 and 717, to get
6115 = 717 x 8 + 379
Step 2: Since the reminder 717 ≠ 0, we apply division lemma to 379 and 717, to get
717 = 379 x 1 + 338
Step 3: We consider the new divisor 379 and the new remainder 338, and apply the division lemma to get
379 = 338 x 1 + 41
We consider the new divisor 338 and the new remainder 41,and apply the division lemma to get
338 = 41 x 8 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 717 and 6115 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(338,41) = HCF(379,338) = HCF(717,379) = HCF(6115,717) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6434 > 1, we apply the division lemma to 6434 and 1, to get
6434 = 1 x 6434 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6434 is 1
Notice that 1 = HCF(6434,1) .
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 717, 6115, 6434?
Answer: HCF of 717, 6115, 6434 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 717, 6115, 6434 using Euclid's Algorithm?
Answer: For arbitrary numbers 717, 6115, 6434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.