Highest Common Factor of 2458, 904 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 2458, 904 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2458, 904 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 2458, 904 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 2458, 904 is 2.
HCF(2458, 904) = 2
HCF of 2458, 904 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2458, 904 is 2.
Highest Common Factor of 2458,904 is 2
Step 1: Since 2458 > 904, we apply the division lemma to 2458 and 904, to get
2458 = 904 x 2 + 650
Step 2: Since the reminder 904 ≠ 0, we apply division lemma to 650 and 904, to get
904 = 650 x 1 + 254
Step 3: We consider the new divisor 650 and the new remainder 254, and apply the division lemma to get
650 = 254 x 2 + 142
We consider the new divisor 254 and the new remainder 142,and apply the division lemma to get
254 = 142 x 1 + 112
We consider the new divisor 142 and the new remainder 112,and apply the division lemma to get
142 = 112 x 1 + 30
We consider the new divisor 112 and the new remainder 30,and apply the division lemma to get
112 = 30 x 3 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2458 and 904 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(112,30) = HCF(142,112) = HCF(254,142) = HCF(650,254) = HCF(904,650) = HCF(2458,904) .
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Frequently Asked Questions on HCF of 2458, 904 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 2458, 904?
Answer: HCF of 2458, 904 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2458, 904 using Euclid's Algorithm?
Answer: For arbitrary numbers 2458, 904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
