Highest Common Factor of 7474, 3485 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 7474, 3485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7474, 3485 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 7474, 3485 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 7474, 3485 is 1.
HCF(7474, 3485) = 1
HCF of 7474, 3485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7474, 3485 is 1.
Highest Common Factor of 7474,3485 is 1
Step 1: Since 7474 > 3485, we apply the division lemma to 7474 and 3485, to get
7474 = 3485 x 2 + 504
Step 2: Since the reminder 3485 ≠ 0, we apply division lemma to 504 and 3485, to get
3485 = 504 x 6 + 461
Step 3: We consider the new divisor 504 and the new remainder 461, and apply the division lemma to get
504 = 461 x 1 + 43
We consider the new divisor 461 and the new remainder 43,and apply the division lemma to get
461 = 43 x 10 + 31
We consider the new divisor 43 and the new remainder 31,and apply the division lemma to get
43 = 31 x 1 + 12
We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get
31 = 12 x 2 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7474 and 3485 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(43,31) = HCF(461,43) = HCF(504,461) = HCF(3485,504) = HCF(7474,3485) .
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Frequently Asked Questions on HCF of 7474, 3485 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 7474, 3485?
Answer: HCF of 7474, 3485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7474, 3485 using Euclid's Algorithm?
Answer: For arbitrary numbers 7474, 3485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.