Highest Common Factor of 2550, 6242 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 2550, 6242 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2550, 6242 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 2550, 6242 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 2550, 6242 is 2.
HCF(2550, 6242) = 2
HCF of 2550, 6242 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2550, 6242 is 2.
Highest Common Factor of 2550,6242 is 2
Step 1: Since 6242 > 2550, we apply the division lemma to 6242 and 2550, to get
6242 = 2550 x 2 + 1142
Step 2: Since the reminder 2550 ≠ 0, we apply division lemma to 1142 and 2550, to get
2550 = 1142 x 2 + 266
Step 3: We consider the new divisor 1142 and the new remainder 266, and apply the division lemma to get
1142 = 266 x 4 + 78
We consider the new divisor 266 and the new remainder 78,and apply the division lemma to get
266 = 78 x 3 + 32
We consider the new divisor 78 and the new remainder 32,and apply the division lemma to get
78 = 32 x 2 + 14
We consider the new divisor 32 and the new remainder 14,and apply the division lemma to get
32 = 14 x 2 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2550 and 6242 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(32,14) = HCF(78,32) = HCF(266,78) = HCF(1142,266) = HCF(2550,1142) = HCF(6242,2550) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2550, 6242 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 2550, 6242?
Answer: HCF of 2550, 6242 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2550, 6242 using Euclid's Algorithm?
Answer: For arbitrary numbers 2550, 6242 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.