Highest Common Factor of 3702, 2570 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 3702, 2570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3702, 2570 is 2 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 3702, 2570 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 3702, 2570 is 2.
HCF(3702, 2570) = 2
HCF of 3702, 2570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3702, 2570 is 2.
Highest Common Factor of 3702,2570 is 2
Step 1: Since 3702 > 2570, we apply the division lemma to 3702 and 2570, to get
3702 = 2570 x 1 + 1132
Step 2: Since the reminder 2570 ≠ 0, we apply division lemma to 1132 and 2570, to get
2570 = 1132 x 2 + 306
Step 3: We consider the new divisor 1132 and the new remainder 306, and apply the division lemma to get
1132 = 306 x 3 + 214
We consider the new divisor 306 and the new remainder 214,and apply the division lemma to get
306 = 214 x 1 + 92
We consider the new divisor 214 and the new remainder 92,and apply the division lemma to get
214 = 92 x 2 + 30
We consider the new divisor 92 and the new remainder 30,and apply the division lemma to get
92 = 30 x 3 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3702 and 2570 is 2
Notice that 2 = HCF(30,2) = HCF(92,30) = HCF(214,92) = HCF(306,214) = HCF(1132,306) = HCF(2570,1132) = HCF(3702,2570) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3702, 2570 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 3702, 2570?
Answer: HCF of 3702, 2570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3702, 2570 using Euclid's Algorithm?
Answer: For arbitrary numbers 3702, 2570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.