Highest Common Factor of 4906, 1120 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 4906, 1120 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4906, 1120 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 4906, 1120 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 4906, 1120 is 2.
HCF(4906, 1120) = 2
HCF of 4906, 1120 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4906, 1120 is 2.
Highest Common Factor of 4906,1120 is 2
Step 1: Since 4906 > 1120, we apply the division lemma to 4906 and 1120, to get
4906 = 1120 x 4 + 426
Step 2: Since the reminder 1120 ≠ 0, we apply division lemma to 426 and 1120, to get
1120 = 426 x 2 + 268
Step 3: We consider the new divisor 426 and the new remainder 268, and apply the division lemma to get
426 = 268 x 1 + 158
We consider the new divisor 268 and the new remainder 158,and apply the division lemma to get
268 = 158 x 1 + 110
We consider the new divisor 158 and the new remainder 110,and apply the division lemma to get
158 = 110 x 1 + 48
We consider the new divisor 110 and the new remainder 48,and apply the division lemma to get
110 = 48 x 2 + 14
We consider the new divisor 48 and the new remainder 14,and apply the division lemma to get
48 = 14 x 3 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 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 4906 and 1120 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(48,14) = HCF(110,48) = HCF(158,110) = HCF(268,158) = HCF(426,268) = HCF(1120,426) = HCF(4906,1120) .
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Frequently Asked Questions on HCF of 4906, 1120 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 4906, 1120?
Answer: HCF of 4906, 1120 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4906, 1120 using Euclid's Algorithm?
Answer: For arbitrary numbers 4906, 1120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.