Highest Common Factor of 3535, 6345 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 3535, 6345 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3535, 6345 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 3535, 6345 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 3535, 6345 is 5.
HCF(3535, 6345) = 5
HCF of 3535, 6345 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3535, 6345 is 5.
Highest Common Factor of 3535,6345 is 5
Step 1: Since 6345 > 3535, we apply the division lemma to 6345 and 3535, to get
6345 = 3535 x 1 + 2810
Step 2: Since the reminder 3535 ≠ 0, we apply division lemma to 2810 and 3535, to get
3535 = 2810 x 1 + 725
Step 3: We consider the new divisor 2810 and the new remainder 725, and apply the division lemma to get
2810 = 725 x 3 + 635
We consider the new divisor 725 and the new remainder 635,and apply the division lemma to get
725 = 635 x 1 + 90
We consider the new divisor 635 and the new remainder 90,and apply the division lemma to get
635 = 90 x 7 + 5
We consider the new divisor 90 and the new remainder 5,and apply the division lemma to get
90 = 5 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3535 and 6345 is 5
Notice that 5 = HCF(90,5) = HCF(635,90) = HCF(725,635) = HCF(2810,725) = HCF(3535,2810) = HCF(6345,3535) .
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Frequently Asked Questions on HCF of 3535, 6345 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 3535, 6345?
Answer: HCF of 3535, 6345 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3535, 6345 using Euclid's Algorithm?
Answer: For arbitrary numbers 3535, 6345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
