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 6455, 2735 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6455, 2735 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 6455, 2735 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 6455, 2735 is 5.
HCF(6455, 2735) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6455, 2735 is 5.
Step 1: Since 6455 > 2735, we apply the division lemma to 6455 and 2735, to get
6455 = 2735 x 2 + 985
Step 2: Since the reminder 2735 ≠ 0, we apply division lemma to 985 and 2735, to get
2735 = 985 x 2 + 765
Step 3: We consider the new divisor 985 and the new remainder 765, and apply the division lemma to get
985 = 765 x 1 + 220
We consider the new divisor 765 and the new remainder 220,and apply the division lemma to get
765 = 220 x 3 + 105
We consider the new divisor 220 and the new remainder 105,and apply the division lemma to get
220 = 105 x 2 + 10
We consider the new divisor 105 and the new remainder 10,and apply the division lemma to get
105 = 10 x 10 + 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 6455 and 2735 is 5
Notice that 5 = HCF(10,5) = HCF(105,10) = HCF(220,105) = HCF(765,220) = HCF(985,765) = HCF(2735,985) = HCF(6455,2735) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6455, 2735?
Answer: HCF of 6455, 2735 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6455, 2735 using Euclid's Algorithm?
Answer: For arbitrary numbers 6455, 2735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.