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 775, 2143, 4335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 775, 2143, 4335 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 775, 2143, 4335 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 775, 2143, 4335 is 1.
HCF(775, 2143, 4335) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 775, 2143, 4335 is 1.
Step 1: Since 2143 > 775, we apply the division lemma to 2143 and 775, to get
2143 = 775 x 2 + 593
Step 2: Since the reminder 775 ≠ 0, we apply division lemma to 593 and 775, to get
775 = 593 x 1 + 182
Step 3: We consider the new divisor 593 and the new remainder 182, and apply the division lemma to get
593 = 182 x 3 + 47
We consider the new divisor 182 and the new remainder 47,and apply the division lemma to get
182 = 47 x 3 + 41
We consider the new divisor 47 and the new remainder 41,and apply the division lemma to get
47 = 41 x 1 + 6
We consider the new divisor 41 and the new remainder 6,and apply the division lemma to get
41 = 6 x 6 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 775 and 2143 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(47,41) = HCF(182,47) = HCF(593,182) = HCF(775,593) = HCF(2143,775) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4335 > 1, we apply the division lemma to 4335 and 1, to get
4335 = 1 x 4335 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4335 is 1
Notice that 1 = HCF(4335,1) .
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 775, 2143, 4335?
Answer: HCF of 775, 2143, 4335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 775, 2143, 4335 using Euclid's Algorithm?
Answer: For arbitrary numbers 775, 2143, 4335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.