Highest Common Factor of 4110, 5478 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 4110, 5478 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4110, 5478 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 4110, 5478 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 4110, 5478 is 6.
HCF(4110, 5478) = 6
HCF of 4110, 5478 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4110, 5478 is 6.
Highest Common Factor of 4110,5478 is 6
Step 1: Since 5478 > 4110, we apply the division lemma to 5478 and 4110, to get
5478 = 4110 x 1 + 1368
Step 2: Since the reminder 4110 ≠ 0, we apply division lemma to 1368 and 4110, to get
4110 = 1368 x 3 + 6
Step 3: We consider the new divisor 1368 and the new remainder 6, and apply the division lemma to get
1368 = 6 x 228 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4110 and 5478 is 6
Notice that 6 = HCF(1368,6) = HCF(4110,1368) = HCF(5478,4110) .
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Frequently Asked Questions on HCF of 4110, 5478 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 4110, 5478?
Answer: HCF of 4110, 5478 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4110, 5478 using Euclid's Algorithm?
Answer: For arbitrary numbers 4110, 5478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.