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, 571, 957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 775, 571, 957 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, 571, 957 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, 571, 957 is 1.
HCF(775, 571, 957) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 775, 571, 957 is 1.
Step 1: Since 775 > 571, we apply the division lemma to 775 and 571, to get
775 = 571 x 1 + 204
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 204 and 571, to get
571 = 204 x 2 + 163
Step 3: We consider the new divisor 204 and the new remainder 163, and apply the division lemma to get
204 = 163 x 1 + 41
We consider the new divisor 163 and the new remainder 41,and apply the division lemma to get
163 = 41 x 3 + 40
We consider the new divisor 41 and the new remainder 40,and apply the division lemma to get
41 = 40 x 1 + 1
We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 775 and 571 is 1
Notice that 1 = HCF(40,1) = HCF(41,40) = HCF(163,41) = HCF(204,163) = HCF(571,204) = HCF(775,571) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 957 > 1, we apply the division lemma to 957 and 1, to get
957 = 1 x 957 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 957 is 1
Notice that 1 = HCF(957,1) .
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, 571, 957?
Answer: HCF of 775, 571, 957 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 775, 571, 957 using Euclid's Algorithm?
Answer: For arbitrary numbers 775, 571, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.