Highest Common Factor of 1407, 3370 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 1407, 3370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1407, 3370 is 1 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 1407, 3370 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 1407, 3370 is 1.
HCF(1407, 3370) = 1
HCF of 1407, 3370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1407, 3370 is 1.
Highest Common Factor of 1407,3370 is 1
Step 1: Since 3370 > 1407, we apply the division lemma to 3370 and 1407, to get
3370 = 1407 x 2 + 556
Step 2: Since the reminder 1407 ≠ 0, we apply division lemma to 556 and 1407, to get
1407 = 556 x 2 + 295
Step 3: We consider the new divisor 556 and the new remainder 295, and apply the division lemma to get
556 = 295 x 1 + 261
We consider the new divisor 295 and the new remainder 261,and apply the division lemma to get
295 = 261 x 1 + 34
We consider the new divisor 261 and the new remainder 34,and apply the division lemma to get
261 = 34 x 7 + 23
We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get
34 = 23 x 1 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1407 and 3370 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(261,34) = HCF(295,261) = HCF(556,295) = HCF(1407,556) = HCF(3370,1407) .
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Frequently Asked Questions on HCF of 1407, 3370 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 1407, 3370?
Answer: HCF of 1407, 3370 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1407, 3370 using Euclid's Algorithm?
Answer: For arbitrary numbers 1407, 3370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.