Highest Common Factor of 3905, 710 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 3905, 710 i.e. 355 the largest integer that leaves a remainder zero for all numbers.
HCF of 3905, 710 is 355 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 3905, 710 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 3905, 710 is 355.
HCF(3905, 710) = 355
HCF of 3905, 710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3905, 710 is 355.
Highest Common Factor of 3905,710 is 355
Step 1: Since 3905 > 710, we apply the division lemma to 3905 and 710, to get
3905 = 710 x 5 + 355
Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 355 and 710, to get
710 = 355 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 355, the HCF of 3905 and 710 is 355
Notice that 355 = HCF(710,355) = HCF(3905,710) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3905, 710 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 3905, 710?
Answer: HCF of 3905, 710 is 355 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3905, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 3905, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.