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, 28170 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 28170 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, 28170 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, 28170 is 1.
HCF(953, 28170) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 28170 is 1.
Step 1: Since 28170 > 953, we apply the division lemma to 28170 and 953, to get
28170 = 953 x 29 + 533
Step 2: Since the reminder 953 ≠ 0, we apply division lemma to 533 and 953, to get
953 = 533 x 1 + 420
Step 3: We consider the new divisor 533 and the new remainder 420, and apply the division lemma to get
533 = 420 x 1 + 113
We consider the new divisor 420 and the new remainder 113,and apply the division lemma to get
420 = 113 x 3 + 81
We consider the new divisor 113 and the new remainder 81,and apply the division lemma to get
113 = 81 x 1 + 32
We consider the new divisor 81 and the new remainder 32,and apply the division lemma to get
81 = 32 x 2 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 953 and 28170 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(81,32) = HCF(113,81) = HCF(420,113) = HCF(533,420) = HCF(953,533) = HCF(28170,953) .
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, 28170?
Answer: HCF of 953, 28170 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 28170 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 28170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.