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 764, 923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 764, 923 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 764, 923 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 764, 923 is 1.
HCF(764, 923) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 764, 923 is 1.
Step 1: Since 923 > 764, we apply the division lemma to 923 and 764, to get
923 = 764 x 1 + 159
Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 159 and 764, to get
764 = 159 x 4 + 128
Step 3: We consider the new divisor 159 and the new remainder 128, and apply the division lemma to get
159 = 128 x 1 + 31
We consider the new divisor 128 and the new remainder 31,and apply the division lemma to get
128 = 31 x 4 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 764 and 923 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(128,31) = HCF(159,128) = HCF(764,159) = HCF(923,764) .
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 764, 923?
Answer: HCF of 764, 923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 764, 923 using Euclid's Algorithm?
Answer: For arbitrary numbers 764, 923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.