Highest Common Factor of 907, 351, 665 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 907, 351, 665 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 907, 351, 665 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 907, 351, 665 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 907, 351, 665 is 1.
HCF(907, 351, 665) = 1
HCF of 907, 351, 665 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 907, 351, 665 is 1.
Highest Common Factor of 907,351,665 is 1
Step 1: Since 907 > 351, we apply the division lemma to 907 and 351, to get
907 = 351 x 2 + 205
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 205 and 351, to get
351 = 205 x 1 + 146
Step 3: We consider the new divisor 205 and the new remainder 146, and apply the division lemma to get
205 = 146 x 1 + 59
We consider the new divisor 146 and the new remainder 59,and apply the division lemma to get
146 = 59 x 2 + 28
We consider the new divisor 59 and the new remainder 28,and apply the division lemma to get
59 = 28 x 2 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 907 and 351 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(59,28) = HCF(146,59) = HCF(205,146) = HCF(351,205) = HCF(907,351) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 665 > 1, we apply the division lemma to 665 and 1, to get
665 = 1 x 665 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 665 is 1
Notice that 1 = HCF(665,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 907, 351, 665 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 907, 351, 665?
Answer: HCF of 907, 351, 665 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 907, 351, 665 using Euclid's Algorithm?
Answer: For arbitrary numbers 907, 351, 665 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.