Highest Common Factor of 2410, 3742 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 2410, 3742 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2410, 3742 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 2410, 3742 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 2410, 3742 is 2.
HCF(2410, 3742) = 2
HCF of 2410, 3742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2410, 3742 is 2.
Highest Common Factor of 2410,3742 is 2
Step 1: Since 3742 > 2410, we apply the division lemma to 3742 and 2410, to get
3742 = 2410 x 1 + 1332
Step 2: Since the reminder 2410 ≠ 0, we apply division lemma to 1332 and 2410, to get
2410 = 1332 x 1 + 1078
Step 3: We consider the new divisor 1332 and the new remainder 1078, and apply the division lemma to get
1332 = 1078 x 1 + 254
We consider the new divisor 1078 and the new remainder 254,and apply the division lemma to get
1078 = 254 x 4 + 62
We consider the new divisor 254 and the new remainder 62,and apply the division lemma to get
254 = 62 x 4 + 6
We consider the new divisor 62 and the new remainder 6,and apply the division lemma to get
62 = 6 x 10 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2410 and 3742 is 2
Notice that 2 = HCF(6,2) = HCF(62,6) = HCF(254,62) = HCF(1078,254) = HCF(1332,1078) = HCF(2410,1332) = HCF(3742,2410) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2410, 3742 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 2410, 3742?
Answer: HCF of 2410, 3742 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2410, 3742 using Euclid's Algorithm?
Answer: For arbitrary numbers 2410, 3742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.