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 265, 725, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 265, 725, 869 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 265, 725, 869 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 265, 725, 869 is 1.
HCF(265, 725, 869) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 265, 725, 869 is 1.
Step 1: Since 725 > 265, we apply the division lemma to 725 and 265, to get
725 = 265 x 2 + 195
Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 195 and 265, to get
265 = 195 x 1 + 70
Step 3: We consider the new divisor 195 and the new remainder 70, and apply the division lemma to get
195 = 70 x 2 + 55
We consider the new divisor 70 and the new remainder 55,and apply the division lemma to get
70 = 55 x 1 + 15
We consider the new divisor 55 and the new remainder 15,and apply the division lemma to get
55 = 15 x 3 + 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 265 and 725 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(55,15) = HCF(70,55) = HCF(195,70) = HCF(265,195) = HCF(725,265) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 869 > 5, we apply the division lemma to 869 and 5, to get
869 = 5 x 173 + 4
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get
5 = 4 x 1 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 869 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(869,5) .
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 265, 725, 869?
Answer: HCF of 265, 725, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 265, 725, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 265, 725, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.