Highest Common Factor of 3330, 3680 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 3330, 3680 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 3330, 3680 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 3330, 3680 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 3330, 3680 is 10.
HCF(3330, 3680) = 10
HCF of 3330, 3680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3330, 3680 is 10.
Highest Common Factor of 3330,3680 is 10
Step 1: Since 3680 > 3330, we apply the division lemma to 3680 and 3330, to get
3680 = 3330 x 1 + 350
Step 2: Since the reminder 3330 ≠ 0, we apply division lemma to 350 and 3330, to get
3330 = 350 x 9 + 180
Step 3: We consider the new divisor 350 and the new remainder 180, and apply the division lemma to get
350 = 180 x 1 + 170
We consider the new divisor 180 and the new remainder 170,and apply the division lemma to get
180 = 170 x 1 + 10
We consider the new divisor 170 and the new remainder 10,and apply the division lemma to get
170 = 10 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 3330 and 3680 is 10
Notice that 10 = HCF(170,10) = HCF(180,170) = HCF(350,180) = HCF(3330,350) = HCF(3680,3330) .
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Frequently Asked Questions on HCF of 3330, 3680 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 3330, 3680?
Answer: HCF of 3330, 3680 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3330, 3680 using Euclid's Algorithm?
Answer: For arbitrary numbers 3330, 3680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.