Highest Common Factor of 2014, 7239 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 2014, 7239 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 2014, 7239 is 19 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 2014, 7239 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 2014, 7239 is 19.
HCF(2014, 7239) = 19
HCF of 2014, 7239 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2014, 7239 is 19.
Highest Common Factor of 2014,7239 is 19
Step 1: Since 7239 > 2014, we apply the division lemma to 7239 and 2014, to get
7239 = 2014 x 3 + 1197
Step 2: Since the reminder 2014 ≠ 0, we apply division lemma to 1197 and 2014, to get
2014 = 1197 x 1 + 817
Step 3: We consider the new divisor 1197 and the new remainder 817, and apply the division lemma to get
1197 = 817 x 1 + 380
We consider the new divisor 817 and the new remainder 380,and apply the division lemma to get
817 = 380 x 2 + 57
We consider the new divisor 380 and the new remainder 57,and apply the division lemma to get
380 = 57 x 6 + 38
We consider the new divisor 57 and the new remainder 38,and apply the division lemma to get
57 = 38 x 1 + 19
We consider the new divisor 38 and the new remainder 19,and apply the division lemma to get
38 = 19 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 2014 and 7239 is 19
Notice that 19 = HCF(38,19) = HCF(57,38) = HCF(380,57) = HCF(817,380) = HCF(1197,817) = HCF(2014,1197) = HCF(7239,2014) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2014, 7239 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 2014, 7239?
Answer: HCF of 2014, 7239 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2014, 7239 using Euclid's Algorithm?
Answer: For arbitrary numbers 2014, 7239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.