Highest Common Factor of 718, 800, 935 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 718, 800, 935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 800, 935 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 718, 800, 935 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 718, 800, 935 is 1.
HCF(718, 800, 935) = 1
HCF of 718, 800, 935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 718, 800, 935 is 1.
Highest Common Factor of 718,800,935 is 1
Step 1: Since 800 > 718, we apply the division lemma to 800 and 718, to get
800 = 718 x 1 + 82
Step 2: Since the reminder 718 ≠ 0, we apply division lemma to 82 and 718, to get
718 = 82 x 8 + 62
Step 3: We consider the new divisor 82 and the new remainder 62, and apply the division lemma to get
82 = 62 x 1 + 20
We consider the new divisor 62 and the new remainder 20,and apply the division lemma to get
62 = 20 x 3 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 718 and 800 is 2
Notice that 2 = HCF(20,2) = HCF(62,20) = HCF(82,62) = HCF(718,82) = HCF(800,718) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 935 > 2, we apply the division lemma to 935 and 2, to get
935 = 2 x 467 + 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 935 is 1
Notice that 1 = HCF(2,1) = HCF(935,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 718, 800, 935 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 718, 800, 935?
Answer: HCF of 718, 800, 935 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 800, 935 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 800, 935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.