Highest Common Factor of 6110, 3425 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 6110, 3425 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6110, 3425 is 5 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 6110, 3425 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 6110, 3425 is 5.
HCF(6110, 3425) = 5
HCF of 6110, 3425 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6110, 3425 is 5.
Highest Common Factor of 6110,3425 is 5
Step 1: Since 6110 > 3425, we apply the division lemma to 6110 and 3425, to get
6110 = 3425 x 1 + 2685
Step 2: Since the reminder 3425 ≠ 0, we apply division lemma to 2685 and 3425, to get
3425 = 2685 x 1 + 740
Step 3: We consider the new divisor 2685 and the new remainder 740, and apply the division lemma to get
2685 = 740 x 3 + 465
We consider the new divisor 740 and the new remainder 465,and apply the division lemma to get
740 = 465 x 1 + 275
We consider the new divisor 465 and the new remainder 275,and apply the division lemma to get
465 = 275 x 1 + 190
We consider the new divisor 275 and the new remainder 190,and apply the division lemma to get
275 = 190 x 1 + 85
We consider the new divisor 190 and the new remainder 85,and apply the division lemma to get
190 = 85 x 2 + 20
We consider the new divisor 85 and the new remainder 20,and apply the division lemma to get
85 = 20 x 4 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6110 and 3425 is 5
Notice that 5 = HCF(20,5) = HCF(85,20) = HCF(190,85) = HCF(275,190) = HCF(465,275) = HCF(740,465) = HCF(2685,740) = HCF(3425,2685) = HCF(6110,3425) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6110, 3425 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 6110, 3425?
Answer: HCF of 6110, 3425 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6110, 3425 using Euclid's Algorithm?
Answer: For arbitrary numbers 6110, 3425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.