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 248, 390 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 248, 390 is 2 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 248, 390 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 248, 390 is 2.
HCF(248, 390) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 248, 390 is 2.
Step 1: Since 390 > 248, we apply the division lemma to 390 and 248, to get
390 = 248 x 1 + 142
Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 142 and 248, to get
248 = 142 x 1 + 106
Step 3: We consider the new divisor 142 and the new remainder 106, and apply the division lemma to get
142 = 106 x 1 + 36
We consider the new divisor 106 and the new remainder 36,and apply the division lemma to get
106 = 36 x 2 + 34
We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get
36 = 34 x 1 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 248 and 390 is 2
Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(106,36) = HCF(142,106) = HCF(248,142) = HCF(390,248) .
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 248, 390?
Answer: HCF of 248, 390 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 248, 390 using Euclid's Algorithm?
Answer: For arbitrary numbers 248, 390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.