Highest Common Factor of 7358, 1019 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 7358, 1019 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7358, 1019 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 7358, 1019 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 7358, 1019 is 1.
HCF(7358, 1019) = 1
HCF of 7358, 1019 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7358, 1019 is 1.
Highest Common Factor of 7358,1019 is 1
Step 1: Since 7358 > 1019, we apply the division lemma to 7358 and 1019, to get
7358 = 1019 x 7 + 225
Step 2: Since the reminder 1019 ≠ 0, we apply division lemma to 225 and 1019, to get
1019 = 225 x 4 + 119
Step 3: We consider the new divisor 225 and the new remainder 119, and apply the division lemma to get
225 = 119 x 1 + 106
We consider the new divisor 119 and the new remainder 106,and apply the division lemma to get
119 = 106 x 1 + 13
We consider the new divisor 106 and the new remainder 13,and apply the division lemma to get
106 = 13 x 8 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 7358 and 1019 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(106,13) = HCF(119,106) = HCF(225,119) = HCF(1019,225) = HCF(7358,1019) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7358, 1019 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 7358, 1019?
Answer: HCF of 7358, 1019 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7358, 1019 using Euclid's Algorithm?
Answer: For arbitrary numbers 7358, 1019 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.