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 953, 559, 704 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 559, 704 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 953, 559, 704 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 953, 559, 704 is 1.
HCF(953, 559, 704) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 559, 704 is 1.
Step 1: Since 953 > 559, we apply the division lemma to 953 and 559, to get
953 = 559 x 1 + 394
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 394 and 559, to get
559 = 394 x 1 + 165
Step 3: We consider the new divisor 394 and the new remainder 165, and apply the division lemma to get
394 = 165 x 2 + 64
We consider the new divisor 165 and the new remainder 64,and apply the division lemma to get
165 = 64 x 2 + 37
We consider the new divisor 64 and the new remainder 37,and apply the division lemma to get
64 = 37 x 1 + 27
We consider the new divisor 37 and the new remainder 27,and apply the division lemma to get
37 = 27 x 1 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 953 and 559 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(37,27) = HCF(64,37) = HCF(165,64) = HCF(394,165) = HCF(559,394) = HCF(953,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 704 > 1, we apply the division lemma to 704 and 1, to get
704 = 1 x 704 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 704 is 1
Notice that 1 = HCF(704,1) .
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 953, 559, 704?
Answer: HCF of 953, 559, 704 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 559, 704 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 559, 704 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.