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 953, 631, 177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 631, 177 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 953, 631, 177 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 953, 631, 177 is 1.
HCF(953, 631, 177) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 631, 177 is 1.
Step 1: Since 953 > 631, we apply the division lemma to 953 and 631, to get
953 = 631 x 1 + 322
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 322 and 631, to get
631 = 322 x 1 + 309
Step 3: We consider the new divisor 322 and the new remainder 309, and apply the division lemma to get
322 = 309 x 1 + 13
We consider the new divisor 309 and the new remainder 13,and apply the division lemma to get
309 = 13 x 23 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 953 and 631 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(309,13) = HCF(322,309) = HCF(631,322) = HCF(953,631) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 177 > 1, we apply the division lemma to 177 and 1, to get
177 = 1 x 177 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 177 is 1
Notice that 1 = HCF(177,1) .
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 953, 631, 177?
Answer: HCF of 953, 631, 177 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 631, 177 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 631, 177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.