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 827, 1153, 4915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 827, 1153, 4915 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 827, 1153, 4915 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 827, 1153, 4915 is 1.
HCF(827, 1153, 4915) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 827, 1153, 4915 is 1.
Step 1: Since 1153 > 827, we apply the division lemma to 1153 and 827, to get
1153 = 827 x 1 + 326
Step 2: Since the reminder 827 ≠ 0, we apply division lemma to 326 and 827, to get
827 = 326 x 2 + 175
Step 3: We consider the new divisor 326 and the new remainder 175, and apply the division lemma to get
326 = 175 x 1 + 151
We consider the new divisor 175 and the new remainder 151,and apply the division lemma to get
175 = 151 x 1 + 24
We consider the new divisor 151 and the new remainder 24,and apply the division lemma to get
151 = 24 x 6 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 1153 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(151,24) = HCF(175,151) = HCF(326,175) = HCF(827,326) = HCF(1153,827) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4915 > 1, we apply the division lemma to 4915 and 1, to get
4915 = 1 x 4915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4915 is 1
Notice that 1 = HCF(4915,1) .
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 827, 1153, 4915?
Answer: HCF of 827, 1153, 4915 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 827, 1153, 4915 using Euclid's Algorithm?
Answer: For arbitrary numbers 827, 1153, 4915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.