Highest Common Factor of 493, 625, 981 using Euclid's algorithm
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 493, 625, 981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 493, 625, 981 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 493, 625, 981 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 493, 625, 981 is 1.
HCF(493, 625, 981) = 1
HCF of 493, 625, 981 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 493, 625, 981 is 1.
Highest Common Factor of 493,625,981 is 1
Step 1: Since 625 > 493, we apply the division lemma to 625 and 493, to get
625 = 493 x 1 + 132
Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 132 and 493, to get
493 = 132 x 3 + 97
Step 3: We consider the new divisor 132 and the new remainder 97, and apply the division lemma to get
132 = 97 x 1 + 35
We consider the new divisor 97 and the new remainder 35,and apply the division lemma to get
97 = 35 x 2 + 27
We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get
35 = 27 x 1 + 8
We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get
27 = 8 x 3 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 493 and 625 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(97,35) = HCF(132,97) = HCF(493,132) = HCF(625,493) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 981 > 1, we apply the division lemma to 981 and 1, to get
981 = 1 x 981 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 981 is 1
Notice that 1 = HCF(981,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 493, 625, 981 using Euclid's Algorithm
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 493, 625, 981?
Answer: HCF of 493, 625, 981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 493, 625, 981 using Euclid's Algorithm?
Answer: For arbitrary numbers 493, 625, 981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
