Highest Common Factor of 3038, 2793 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 3038, 2793 i.e. 49 the largest integer that leaves a remainder zero for all numbers.
HCF of 3038, 2793 is 49 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 3038, 2793 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 3038, 2793 is 49.
HCF(3038, 2793) = 49
HCF of 3038, 2793 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3038, 2793 is 49.
Highest Common Factor of 3038,2793 is 49
Step 1: Since 3038 > 2793, we apply the division lemma to 3038 and 2793, to get
3038 = 2793 x 1 + 245
Step 2: Since the reminder 2793 ≠ 0, we apply division lemma to 245 and 2793, to get
2793 = 245 x 11 + 98
Step 3: We consider the new divisor 245 and the new remainder 98, and apply the division lemma to get
245 = 98 x 2 + 49
We consider the new divisor 98 and the new remainder 49, and apply the division lemma to get
98 = 49 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 3038 and 2793 is 49
Notice that 49 = HCF(98,49) = HCF(245,98) = HCF(2793,245) = HCF(3038,2793) .
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Frequently Asked Questions on HCF of 3038, 2793 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 3038, 2793?
Answer: HCF of 3038, 2793 is 49 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3038, 2793 using Euclid's Algorithm?
Answer: For arbitrary numbers 3038, 2793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.