Highest Common Factor of 4849, 9015, 48987 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 4849, 9015, 48987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4849, 9015, 48987 is 1 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 4849, 9015, 48987 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 4849, 9015, 48987 is 1.
HCF(4849, 9015, 48987) = 1
HCF of 4849, 9015, 48987 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4849, 9015, 48987 is 1.
Highest Common Factor of 4849,9015,48987 is 1
Step 1: Since 9015 > 4849, we apply the division lemma to 9015 and 4849, to get
9015 = 4849 x 1 + 4166
Step 2: Since the reminder 4849 ≠ 0, we apply division lemma to 4166 and 4849, to get
4849 = 4166 x 1 + 683
Step 3: We consider the new divisor 4166 and the new remainder 683, and apply the division lemma to get
4166 = 683 x 6 + 68
We consider the new divisor 683 and the new remainder 68,and apply the division lemma to get
683 = 68 x 10 + 3
We consider the new divisor 68 and the new remainder 3,and apply the division lemma to get
68 = 3 x 22 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4849 and 9015 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(68,3) = HCF(683,68) = HCF(4166,683) = HCF(4849,4166) = HCF(9015,4849) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48987 > 1, we apply the division lemma to 48987 and 1, to get
48987 = 1 x 48987 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48987 is 1
Notice that 1 = HCF(48987,1) .
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Frequently Asked Questions on HCF of 4849, 9015, 48987 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 4849, 9015, 48987?
Answer: HCF of 4849, 9015, 48987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4849, 9015, 48987 using Euclid's Algorithm?
Answer: For arbitrary numbers 4849, 9015, 48987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
