Highest Common Factor of 2794, 4754 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 2794, 4754 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2794, 4754 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 2794, 4754 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 2794, 4754 is 2.
HCF(2794, 4754) = 2
HCF of 2794, 4754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2794, 4754 is 2.
Highest Common Factor of 2794,4754 is 2
Step 1: Since 4754 > 2794, we apply the division lemma to 4754 and 2794, to get
4754 = 2794 x 1 + 1960
Step 2: Since the reminder 2794 ≠ 0, we apply division lemma to 1960 and 2794, to get
2794 = 1960 x 1 + 834
Step 3: We consider the new divisor 1960 and the new remainder 834, and apply the division lemma to get
1960 = 834 x 2 + 292
We consider the new divisor 834 and the new remainder 292,and apply the division lemma to get
834 = 292 x 2 + 250
We consider the new divisor 292 and the new remainder 250,and apply the division lemma to get
292 = 250 x 1 + 42
We consider the new divisor 250 and the new remainder 42,and apply the division lemma to get
250 = 42 x 5 + 40
We consider the new divisor 42 and the new remainder 40,and apply the division lemma to get
42 = 40 x 1 + 2
We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2794 and 4754 is 2
Notice that 2 = HCF(40,2) = HCF(42,40) = HCF(250,42) = HCF(292,250) = HCF(834,292) = HCF(1960,834) = HCF(2794,1960) = HCF(4754,2794) .
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Frequently Asked Questions on HCF of 2794, 4754 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 2794, 4754?
Answer: HCF of 2794, 4754 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2794, 4754 using Euclid's Algorithm?
Answer: For arbitrary numbers 2794, 4754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.