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 2554, 3758 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2554, 3758 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 2554, 3758 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 2554, 3758 is 2.
HCF(2554, 3758) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2554, 3758 is 2.
Step 1: Since 3758 > 2554, we apply the division lemma to 3758 and 2554, to get
3758 = 2554 x 1 + 1204
Step 2: Since the reminder 2554 ≠ 0, we apply division lemma to 1204 and 2554, to get
2554 = 1204 x 2 + 146
Step 3: We consider the new divisor 1204 and the new remainder 146, and apply the division lemma to get
1204 = 146 x 8 + 36
We consider the new divisor 146 and the new remainder 36,and apply the division lemma to get
146 = 36 x 4 + 2
We consider the new divisor 36 and the new remainder 2,and apply the division lemma to get
36 = 2 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2554 and 3758 is 2
Notice that 2 = HCF(36,2) = HCF(146,36) = HCF(1204,146) = HCF(2554,1204) = HCF(3758,2554) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2554, 3758?
Answer: HCF of 2554, 3758 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2554, 3758 using Euclid's Algorithm?
Answer: For arbitrary numbers 2554, 3758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.