Highest Common Factor of 5520, 4266 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 5520, 4266 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5520, 4266 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 5520, 4266 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 5520, 4266 is 6.
HCF(5520, 4266) = 6
HCF of 5520, 4266 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5520, 4266 is 6.
Highest Common Factor of 5520,4266 is 6
Step 1: Since 5520 > 4266, we apply the division lemma to 5520 and 4266, to get
5520 = 4266 x 1 + 1254
Step 2: Since the reminder 4266 ≠ 0, we apply division lemma to 1254 and 4266, to get
4266 = 1254 x 3 + 504
Step 3: We consider the new divisor 1254 and the new remainder 504, and apply the division lemma to get
1254 = 504 x 2 + 246
We consider the new divisor 504 and the new remainder 246,and apply the division lemma to get
504 = 246 x 2 + 12
We consider the new divisor 246 and the new remainder 12,and apply the division lemma to get
246 = 12 x 20 + 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 5520 and 4266 is 6
Notice that 6 = HCF(12,6) = HCF(246,12) = HCF(504,246) = HCF(1254,504) = HCF(4266,1254) = HCF(5520,4266) .
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Frequently Asked Questions on HCF of 5520, 4266 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 5520, 4266?
Answer: HCF of 5520, 4266 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5520, 4266 using Euclid's Algorithm?
Answer: For arbitrary numbers 5520, 4266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.