Highest Common Factor of 5314, 3401 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 5314, 3401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5314, 3401 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 5314, 3401 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 5314, 3401 is 1.
HCF(5314, 3401) = 1
HCF of 5314, 3401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5314, 3401 is 1.
Highest Common Factor of 5314,3401 is 1
Step 1: Since 5314 > 3401, we apply the division lemma to 5314 and 3401, to get
5314 = 3401 x 1 + 1913
Step 2: Since the reminder 3401 ≠ 0, we apply division lemma to 1913 and 3401, to get
3401 = 1913 x 1 + 1488
Step 3: We consider the new divisor 1913 and the new remainder 1488, and apply the division lemma to get
1913 = 1488 x 1 + 425
We consider the new divisor 1488 and the new remainder 425,and apply the division lemma to get
1488 = 425 x 3 + 213
We consider the new divisor 425 and the new remainder 213,and apply the division lemma to get
425 = 213 x 1 + 212
We consider the new divisor 213 and the new remainder 212,and apply the division lemma to get
213 = 212 x 1 + 1
We consider the new divisor 212 and the new remainder 1,and apply the division lemma to get
212 = 1 x 212 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5314 and 3401 is 1
Notice that 1 = HCF(212,1) = HCF(213,212) = HCF(425,213) = HCF(1488,425) = HCF(1913,1488) = HCF(3401,1913) = HCF(5314,3401) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5314, 3401 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 5314, 3401?
Answer: HCF of 5314, 3401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5314, 3401 using Euclid's Algorithm?
Answer: For arbitrary numbers 5314, 3401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.