Highest Common Factor of 5460, 6195 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 5460, 6195 i.e. 105 the largest integer that leaves a remainder zero for all numbers.
HCF of 5460, 6195 is 105 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 5460, 6195 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 5460, 6195 is 105.
HCF(5460, 6195) = 105
HCF of 5460, 6195 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5460, 6195 is 105.
Highest Common Factor of 5460,6195 is 105
Step 1: Since 6195 > 5460, we apply the division lemma to 6195 and 5460, to get
6195 = 5460 x 1 + 735
Step 2: Since the reminder 5460 ≠ 0, we apply division lemma to 735 and 5460, to get
5460 = 735 x 7 + 315
Step 3: We consider the new divisor 735 and the new remainder 315, and apply the division lemma to get
735 = 315 x 2 + 105
We consider the new divisor 315 and the new remainder 105, and apply the division lemma to get
315 = 105 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 105, the HCF of 5460 and 6195 is 105
Notice that 105 = HCF(315,105) = HCF(735,315) = HCF(5460,735) = HCF(6195,5460) .
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Frequently Asked Questions on HCF of 5460, 6195 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 5460, 6195?
Answer: HCF of 5460, 6195 is 105 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5460, 6195 using Euclid's Algorithm?
Answer: For arbitrary numbers 5460, 6195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.