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, 759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 759 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, 759 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, 759 is 1.
HCF(973, 759) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 759 is 1.
Step 1: Since 973 > 759, we apply the division lemma to 973 and 759, to get
973 = 759 x 1 + 214
Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 214 and 759, to get
759 = 214 x 3 + 117
Step 3: We consider the new divisor 214 and the new remainder 117, and apply the division lemma to get
214 = 117 x 1 + 97
We consider the new divisor 117 and the new remainder 97,and apply the division lemma to get
117 = 97 x 1 + 20
We consider the new divisor 97 and the new remainder 20,and apply the division lemma to get
97 = 20 x 4 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 759 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(97,20) = HCF(117,97) = HCF(214,117) = HCF(759,214) = HCF(973,759) .
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, 759?
Answer: HCF of 973, 759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 759 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.