Highest Common Factor of 2542, 2802 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 2542, 2802 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2542, 2802 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 2542, 2802 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 2542, 2802 is 2.
HCF(2542, 2802) = 2
HCF of 2542, 2802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2542, 2802 is 2.
Highest Common Factor of 2542,2802 is 2
Step 1: Since 2802 > 2542, we apply the division lemma to 2802 and 2542, to get
2802 = 2542 x 1 + 260
Step 2: Since the reminder 2542 ≠ 0, we apply division lemma to 260 and 2542, to get
2542 = 260 x 9 + 202
Step 3: We consider the new divisor 260 and the new remainder 202, and apply the division lemma to get
260 = 202 x 1 + 58
We consider the new divisor 202 and the new remainder 58,and apply the division lemma to get
202 = 58 x 3 + 28
We consider the new divisor 58 and the new remainder 28,and apply the division lemma to get
58 = 28 x 2 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2542 and 2802 is 2
Notice that 2 = HCF(28,2) = HCF(58,28) = HCF(202,58) = HCF(260,202) = HCF(2542,260) = HCF(2802,2542) .
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Frequently Asked Questions on HCF of 2542, 2802 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 2542, 2802?
Answer: HCF of 2542, 2802 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2542, 2802 using Euclid's Algorithm?
Answer: For arbitrary numbers 2542, 2802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
