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, 55428 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 55428 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, 55428 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, 55428 is 1.
HCF(953, 55428) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 55428 is 1.
Step 1: Since 55428 > 953, we apply the division lemma to 55428 and 953, to get
55428 = 953 x 58 + 154
Step 2: Since the reminder 953 ≠ 0, we apply division lemma to 154 and 953, to get
953 = 154 x 6 + 29
Step 3: We consider the new divisor 154 and the new remainder 29, and apply the division lemma to get
154 = 29 x 5 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 55428 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(154,29) = HCF(953,154) = HCF(55428,953) .
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, 55428?
Answer: HCF of 953, 55428 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 55428 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 55428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.