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 973, 604, 347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 604, 347 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 973, 604, 347 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 973, 604, 347 is 1.
HCF(973, 604, 347) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 604, 347 is 1.
Step 1: Since 973 > 604, we apply the division lemma to 973 and 604, to get
973 = 604 x 1 + 369
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 369 and 604, to get
604 = 369 x 1 + 235
Step 3: We consider the new divisor 369 and the new remainder 235, and apply the division lemma to get
369 = 235 x 1 + 134
We consider the new divisor 235 and the new remainder 134,and apply the division lemma to get
235 = 134 x 1 + 101
We consider the new divisor 134 and the new remainder 101,and apply the division lemma to get
134 = 101 x 1 + 33
We consider the new divisor 101 and the new remainder 33,and apply the division lemma to get
101 = 33 x 3 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 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 973 and 604 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(101,33) = HCF(134,101) = HCF(235,134) = HCF(369,235) = HCF(604,369) = HCF(973,604) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 347 > 1, we apply the division lemma to 347 and 1, to get
347 = 1 x 347 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 347 is 1
Notice that 1 = HCF(347,1) .
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 973, 604, 347?
Answer: HCF of 973, 604, 347 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 604, 347 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 604, 347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.