Highest Common Factor of 5484, 4410 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 5484, 4410 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5484, 4410 is 6 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 5484, 4410 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 5484, 4410 is 6.
HCF(5484, 4410) = 6
HCF of 5484, 4410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5484, 4410 is 6.
Highest Common Factor of 5484,4410 is 6
Step 1: Since 5484 > 4410, we apply the division lemma to 5484 and 4410, to get
5484 = 4410 x 1 + 1074
Step 2: Since the reminder 4410 ≠ 0, we apply division lemma to 1074 and 4410, to get
4410 = 1074 x 4 + 114
Step 3: We consider the new divisor 1074 and the new remainder 114, and apply the division lemma to get
1074 = 114 x 9 + 48
We consider the new divisor 114 and the new remainder 48,and apply the division lemma to get
114 = 48 x 2 + 18
We consider the new divisor 48 and the new remainder 18,and apply the division lemma to get
48 = 18 x 2 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5484 and 4410 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(48,18) = HCF(114,48) = HCF(1074,114) = HCF(4410,1074) = HCF(5484,4410) .
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Frequently Asked Questions on HCF of 5484, 4410 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 5484, 4410?
Answer: HCF of 5484, 4410 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5484, 4410 using Euclid's Algorithm?
Answer: For arbitrary numbers 5484, 4410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.