Highest Common Factor of 913, 666, 357 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 913, 666, 357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 913, 666, 357 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, 666, 357 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, 666, 357 is 1.
HCF(913, 666, 357) = 1
HCF of 913, 666, 357 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 913, 666, 357 is 1.
Highest Common Factor of 913,666,357 is 1
Step 1: Since 913 > 666, we apply the division lemma to 913 and 666, to get
913 = 666 x 1 + 247
Step 2: Since the reminder 666 ≠ 0, we apply division lemma to 247 and 666, to get
666 = 247 x 2 + 172
Step 3: We consider the new divisor 247 and the new remainder 172, and apply the division lemma to get
247 = 172 x 1 + 75
We consider the new divisor 172 and the new remainder 75,and apply the division lemma to get
172 = 75 x 2 + 22
We consider the new divisor 75 and the new remainder 22,and apply the division lemma to get
75 = 22 x 3 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 913 and 666 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(75,22) = HCF(172,75) = HCF(247,172) = HCF(666,247) = HCF(913,666) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 357 > 1, we apply the division lemma to 357 and 1, to get
357 = 1 x 357 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 357 is 1
Notice that 1 = HCF(357,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 913, 666, 357 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 913, 666, 357?
Answer: HCF of 913, 666, 357 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 913, 666, 357 using Euclid's Algorithm?
Answer: For arbitrary numbers 913, 666, 357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.