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, 424, 530, 81 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 424, 530, 81 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, 424, 530, 81 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, 424, 530, 81 is 1.
HCF(953, 424, 530, 81) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 424, 530, 81 is 1.
Step 1: Since 953 > 424, we apply the division lemma to 953 and 424, to get
953 = 424 x 2 + 105
Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 105 and 424, to get
424 = 105 x 4 + 4
Step 3: We consider the new divisor 105 and the new remainder 4, and apply the division lemma to get
105 = 4 x 26 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 953 and 424 is 1
Notice that 1 = HCF(4,1) = HCF(105,4) = HCF(424,105) = HCF(953,424) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 530 > 1, we apply the division lemma to 530 and 1, to get
530 = 1 x 530 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 530 is 1
Notice that 1 = HCF(530,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1
Notice that 1 = HCF(81,1) .
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, 424, 530, 81?
Answer: HCF of 953, 424, 530, 81 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 424, 530, 81 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 424, 530, 81 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.