Highest Common Factor of 513, 922, 393 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 513, 922, 393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 513, 922, 393 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 513, 922, 393 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 513, 922, 393 is 1.
HCF(513, 922, 393) = 1
HCF of 513, 922, 393 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 513, 922, 393 is 1.
Highest Common Factor of 513,922,393 is 1
Step 1: Since 922 > 513, we apply the division lemma to 922 and 513, to get
922 = 513 x 1 + 409
Step 2: Since the reminder 513 ≠ 0, we apply division lemma to 409 and 513, to get
513 = 409 x 1 + 104
Step 3: We consider the new divisor 409 and the new remainder 104, and apply the division lemma to get
409 = 104 x 3 + 97
We consider the new divisor 104 and the new remainder 97,and apply the division lemma to get
104 = 97 x 1 + 7
We consider the new divisor 97 and the new remainder 7,and apply the division lemma to get
97 = 7 x 13 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 513 and 922 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(97,7) = HCF(104,97) = HCF(409,104) = HCF(513,409) = HCF(922,513) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 393 > 1, we apply the division lemma to 393 and 1, to get
393 = 1 x 393 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 393 is 1
Notice that 1 = HCF(393,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 513, 922, 393 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 513, 922, 393?
Answer: HCF of 513, 922, 393 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 513, 922, 393 using Euclid's Algorithm?
Answer: For arbitrary numbers 513, 922, 393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
