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 913, 593, 910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 913, 593, 910 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 913, 593, 910 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 913, 593, 910 is 1.
HCF(913, 593, 910) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 913, 593, 910 is 1.
Step 1: Since 913 > 593, we apply the division lemma to 913 and 593, to get
913 = 593 x 1 + 320
Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 320 and 593, to get
593 = 320 x 1 + 273
Step 3: We consider the new divisor 320 and the new remainder 273, and apply the division lemma to get
320 = 273 x 1 + 47
We consider the new divisor 273 and the new remainder 47,and apply the division lemma to get
273 = 47 x 5 + 38
We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get
47 = 38 x 1 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 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 913 and 593 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(273,47) = HCF(320,273) = HCF(593,320) = HCF(913,593) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 1, we apply the division lemma to 910 and 1, to get
910 = 1 x 910 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 910 is 1
Notice that 1 = HCF(910,1) .
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 913, 593, 910?
Answer: HCF of 913, 593, 910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 913, 593, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 913, 593, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.