Highest Common Factor of 5470, 3330 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 5470, 3330 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 5470, 3330 is 10 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 5470, 3330 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 5470, 3330 is 10.
HCF(5470, 3330) = 10
HCF of 5470, 3330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5470, 3330 is 10.
Highest Common Factor of 5470,3330 is 10
Step 1: Since 5470 > 3330, we apply the division lemma to 5470 and 3330, to get
5470 = 3330 x 1 + 2140
Step 2: Since the reminder 3330 ≠ 0, we apply division lemma to 2140 and 3330, to get
3330 = 2140 x 1 + 1190
Step 3: We consider the new divisor 2140 and the new remainder 1190, and apply the division lemma to get
2140 = 1190 x 1 + 950
We consider the new divisor 1190 and the new remainder 950,and apply the division lemma to get
1190 = 950 x 1 + 240
We consider the new divisor 950 and the new remainder 240,and apply the division lemma to get
950 = 240 x 3 + 230
We consider the new divisor 240 and the new remainder 230,and apply the division lemma to get
240 = 230 x 1 + 10
We consider the new divisor 230 and the new remainder 10,and apply the division lemma to get
230 = 10 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 5470 and 3330 is 10
Notice that 10 = HCF(230,10) = HCF(240,230) = HCF(950,240) = HCF(1190,950) = HCF(2140,1190) = HCF(3330,2140) = HCF(5470,3330) .
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Frequently Asked Questions on HCF of 5470, 3330 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 5470, 3330?
Answer: HCF of 5470, 3330 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5470, 3330 using Euclid's Algorithm?
Answer: For arbitrary numbers 5470, 3330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.