Highest Common Factor of 3335, 4070 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 3335, 4070 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3335, 4070 is 5 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 3335, 4070 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 3335, 4070 is 5.
HCF(3335, 4070) = 5
HCF of 3335, 4070 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3335, 4070 is 5.
Highest Common Factor of 3335,4070 is 5
Step 1: Since 4070 > 3335, we apply the division lemma to 4070 and 3335, to get
4070 = 3335 x 1 + 735
Step 2: Since the reminder 3335 ≠ 0, we apply division lemma to 735 and 3335, to get
3335 = 735 x 4 + 395
Step 3: We consider the new divisor 735 and the new remainder 395, and apply the division lemma to get
735 = 395 x 1 + 340
We consider the new divisor 395 and the new remainder 340,and apply the division lemma to get
395 = 340 x 1 + 55
We consider the new divisor 340 and the new remainder 55,and apply the division lemma to get
340 = 55 x 6 + 10
We consider the new divisor 55 and the new remainder 10,and apply the division lemma to get
55 = 10 x 5 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3335 and 4070 is 5
Notice that 5 = HCF(10,5) = HCF(55,10) = HCF(340,55) = HCF(395,340) = HCF(735,395) = HCF(3335,735) = HCF(4070,3335) .
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Frequently Asked Questions on HCF of 3335, 4070 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 3335, 4070?
Answer: HCF of 3335, 4070 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3335, 4070 using Euclid's Algorithm?
Answer: For arbitrary numbers 3335, 4070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.