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 6265, 305 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6265, 305 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 6265, 305 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 6265, 305 is 5.
HCF(6265, 305) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6265, 305 is 5.
Step 1: Since 6265 > 305, we apply the division lemma to 6265 and 305, to get
6265 = 305 x 20 + 165
Step 2: Since the reminder 305 ≠ 0, we apply division lemma to 165 and 305, to get
305 = 165 x 1 + 140
Step 3: We consider the new divisor 165 and the new remainder 140, and apply the division lemma to get
165 = 140 x 1 + 25
We consider the new divisor 140 and the new remainder 25,and apply the division lemma to get
140 = 25 x 5 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 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 6265 and 305 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(140,25) = HCF(165,140) = HCF(305,165) = HCF(6265,305) .
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 6265, 305?
Answer: HCF of 6265, 305 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6265, 305 using Euclid's Algorithm?
Answer: For arbitrary numbers 6265, 305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.