Highest Common Factor of 713, 19725 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 713, 19725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 713, 19725 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 713, 19725 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 713, 19725 is 1.
HCF(713, 19725) = 1
HCF of 713, 19725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 713, 19725 is 1.
Highest Common Factor of 713,19725 is 1
Step 1: Since 19725 > 713, we apply the division lemma to 19725 and 713, to get
19725 = 713 x 27 + 474
Step 2: Since the reminder 713 ≠ 0, we apply division lemma to 474 and 713, to get
713 = 474 x 1 + 239
Step 3: We consider the new divisor 474 and the new remainder 239, and apply the division lemma to get
474 = 239 x 1 + 235
We consider the new divisor 239 and the new remainder 235,and apply the division lemma to get
239 = 235 x 1 + 4
We consider the new divisor 235 and the new remainder 4,and apply the division lemma to get
235 = 4 x 58 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 713 and 19725 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(235,4) = HCF(239,235) = HCF(474,239) = HCF(713,474) = HCF(19725,713) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 713, 19725 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 713, 19725?
Answer: HCF of 713, 19725 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 713, 19725 using Euclid's Algorithm?
Answer: For arbitrary numbers 713, 19725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.