Highest Common Factor of 601, 764 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 601, 764 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 601, 764 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 601, 764 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 601, 764 is 1.
HCF(601, 764) = 1
HCF of 601, 764 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 601, 764 is 1.
Highest Common Factor of 601,764 is 1
Step 1: Since 764 > 601, we apply the division lemma to 764 and 601, to get
764 = 601 x 1 + 163
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 163 and 601, to get
601 = 163 x 3 + 112
Step 3: We consider the new divisor 163 and the new remainder 112, and apply the division lemma to get
163 = 112 x 1 + 51
We consider the new divisor 112 and the new remainder 51,and apply the division lemma to get
112 = 51 x 2 + 10
We consider the new divisor 51 and the new remainder 10,and apply the division lemma to get
51 = 10 x 5 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 601 and 764 is 1
Notice that 1 = HCF(10,1) = HCF(51,10) = HCF(112,51) = HCF(163,112) = HCF(601,163) = HCF(764,601) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 601, 764 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 601, 764?
Answer: HCF of 601, 764 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 601, 764 using Euclid's Algorithm?
Answer: For arbitrary numbers 601, 764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.