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 910, 311, 248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 311, 248 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 910, 311, 248 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 910, 311, 248 is 1.
HCF(910, 311, 248) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 311, 248 is 1.
Step 1: Since 910 > 311, we apply the division lemma to 910 and 311, to get
910 = 311 x 2 + 288
Step 2: Since the reminder 311 ≠ 0, we apply division lemma to 288 and 311, to get
311 = 288 x 1 + 23
Step 3: We consider the new divisor 288 and the new remainder 23, and apply the division lemma to get
288 = 23 x 12 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 910 and 311 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(288,23) = HCF(311,288) = HCF(910,311) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 248 > 1, we apply the division lemma to 248 and 1, to get
248 = 1 x 248 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 248 is 1
Notice that 1 = HCF(248,1) .
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 910, 311, 248?
Answer: HCF of 910, 311, 248 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 311, 248 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 311, 248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.