Highest Common Factor of 8260, 7219 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 8260, 7219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8260, 7219 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 8260, 7219 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 8260, 7219 is 1.
HCF(8260, 7219) = 1
HCF of 8260, 7219 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8260, 7219 is 1.
Highest Common Factor of 8260,7219 is 1
Step 1: Since 8260 > 7219, we apply the division lemma to 8260 and 7219, to get
8260 = 7219 x 1 + 1041
Step 2: Since the reminder 7219 ≠ 0, we apply division lemma to 1041 and 7219, to get
7219 = 1041 x 6 + 973
Step 3: We consider the new divisor 1041 and the new remainder 973, and apply the division lemma to get
1041 = 973 x 1 + 68
We consider the new divisor 973 and the new remainder 68,and apply the division lemma to get
973 = 68 x 14 + 21
We consider the new divisor 68 and the new remainder 21,and apply the division lemma to get
68 = 21 x 3 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8260 and 7219 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(68,21) = HCF(973,68) = HCF(1041,973) = HCF(7219,1041) = HCF(8260,7219) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8260, 7219 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 8260, 7219?
Answer: HCF of 8260, 7219 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8260, 7219 using Euclid's Algorithm?
Answer: For arbitrary numbers 8260, 7219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.