Highest Common Factor of 4900, 5434, 13506 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 4900, 5434, 13506 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4900, 5434, 13506 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 4900, 5434, 13506 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 4900, 5434, 13506 is 2.
HCF(4900, 5434, 13506) = 2
HCF of 4900, 5434, 13506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4900, 5434, 13506 is 2.
Highest Common Factor of 4900,5434,13506 is 2
Step 1: Since 5434 > 4900, we apply the division lemma to 5434 and 4900, to get
5434 = 4900 x 1 + 534
Step 2: Since the reminder 4900 ≠ 0, we apply division lemma to 534 and 4900, to get
4900 = 534 x 9 + 94
Step 3: We consider the new divisor 534 and the new remainder 94, and apply the division lemma to get
534 = 94 x 5 + 64
We consider the new divisor 94 and the new remainder 64,and apply the division lemma to get
94 = 64 x 1 + 30
We consider the new divisor 64 and the new remainder 30,and apply the division lemma to get
64 = 30 x 2 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4900 and 5434 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(64,30) = HCF(94,64) = HCF(534,94) = HCF(4900,534) = HCF(5434,4900) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13506 > 2, we apply the division lemma to 13506 and 2, to get
13506 = 2 x 6753 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 13506 is 2
Notice that 2 = HCF(13506,2) .
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Frequently Asked Questions on HCF of 4900, 5434, 13506 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 4900, 5434, 13506?
Answer: HCF of 4900, 5434, 13506 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4900, 5434, 13506 using Euclid's Algorithm?
Answer: For arbitrary numbers 4900, 5434, 13506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.