Highest Common Factor of 5310, 3701 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 5310, 3701 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5310, 3701 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 5310, 3701 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 5310, 3701 is 1.
HCF(5310, 3701) = 1
HCF of 5310, 3701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5310, 3701 is 1.
Highest Common Factor of 5310,3701 is 1
Step 1: Since 5310 > 3701, we apply the division lemma to 5310 and 3701, to get
5310 = 3701 x 1 + 1609
Step 2: Since the reminder 3701 ≠ 0, we apply division lemma to 1609 and 3701, to get
3701 = 1609 x 2 + 483
Step 3: We consider the new divisor 1609 and the new remainder 483, and apply the division lemma to get
1609 = 483 x 3 + 160
We consider the new divisor 483 and the new remainder 160,and apply the division lemma to get
483 = 160 x 3 + 3
We consider the new divisor 160 and the new remainder 3,and apply the division lemma to get
160 = 3 x 53 + 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 5310 and 3701 is 1
Notice that 1 = HCF(3,1) = HCF(160,3) = HCF(483,160) = HCF(1609,483) = HCF(3701,1609) = HCF(5310,3701) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5310, 3701 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 5310, 3701?
Answer: HCF of 5310, 3701 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5310, 3701 using Euclid's Algorithm?
Answer: For arbitrary numbers 5310, 3701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.