Highest Common Factor of 1219, 1778 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 1219, 1778 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1219, 1778 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 1219, 1778 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 1219, 1778 is 1.
HCF(1219, 1778) = 1
HCF of 1219, 1778 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1219, 1778 is 1.
Highest Common Factor of 1219,1778 is 1
Step 1: Since 1778 > 1219, we apply the division lemma to 1778 and 1219, to get
1778 = 1219 x 1 + 559
Step 2: Since the reminder 1219 ≠ 0, we apply division lemma to 559 and 1219, to get
1219 = 559 x 2 + 101
Step 3: We consider the new divisor 559 and the new remainder 101, and apply the division lemma to get
559 = 101 x 5 + 54
We consider the new divisor 101 and the new remainder 54,and apply the division lemma to get
101 = 54 x 1 + 47
We consider the new divisor 54 and the new remainder 47,and apply the division lemma to get
54 = 47 x 1 + 7
We consider the new divisor 47 and the new remainder 7,and apply the division lemma to get
47 = 7 x 6 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1219 and 1778 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(47,7) = HCF(54,47) = HCF(101,54) = HCF(559,101) = HCF(1219,559) = HCF(1778,1219) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1219, 1778 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 1219, 1778?
Answer: HCF of 1219, 1778 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1219, 1778 using Euclid's Algorithm?
Answer: For arbitrary numbers 1219, 1778 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.