Highest Common Factor of 929, 1603, 6521 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 929, 1603, 6521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 1603, 6521 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 929, 1603, 6521 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 929, 1603, 6521 is 1.
HCF(929, 1603, 6521) = 1
HCF of 929, 1603, 6521 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 1603, 6521 is 1.
Highest Common Factor of 929,1603,6521 is 1
Step 1: Since 1603 > 929, we apply the division lemma to 1603 and 929, to get
1603 = 929 x 1 + 674
Step 2: Since the reminder 929 ≠ 0, we apply division lemma to 674 and 929, to get
929 = 674 x 1 + 255
Step 3: We consider the new divisor 674 and the new remainder 255, and apply the division lemma to get
674 = 255 x 2 + 164
We consider the new divisor 255 and the new remainder 164,and apply the division lemma to get
255 = 164 x 1 + 91
We consider the new divisor 164 and the new remainder 91,and apply the division lemma to get
164 = 91 x 1 + 73
We consider the new divisor 91 and the new remainder 73,and apply the division lemma to get
91 = 73 x 1 + 18
We consider the new divisor 73 and the new remainder 18,and apply the division lemma to get
73 = 18 x 4 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 929 and 1603 is 1
Notice that 1 = HCF(18,1) = HCF(73,18) = HCF(91,73) = HCF(164,91) = HCF(255,164) = HCF(674,255) = HCF(929,674) = HCF(1603,929) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6521 > 1, we apply the division lemma to 6521 and 1, to get
6521 = 1 x 6521 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6521 is 1
Notice that 1 = HCF(6521,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 929, 1603, 6521 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 929, 1603, 6521?
Answer: HCF of 929, 1603, 6521 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 1603, 6521 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 1603, 6521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.