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 240, 348, 325, 79 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 240, 348, 325, 79 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 240, 348, 325, 79 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 240, 348, 325, 79 is 1.
HCF(240, 348, 325, 79) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 240, 348, 325, 79 is 1.
Step 1: Since 348 > 240, we apply the division lemma to 348 and 240, to get
348 = 240 x 1 + 108
Step 2: Since the reminder 240 ≠ 0, we apply division lemma to 108 and 240, to get
240 = 108 x 2 + 24
Step 3: We consider the new divisor 108 and the new remainder 24, and apply the division lemma to get
108 = 24 x 4 + 12
We consider the new divisor 24 and the new remainder 12, and apply the division lemma to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 240 and 348 is 12
Notice that 12 = HCF(24,12) = HCF(108,24) = HCF(240,108) = HCF(348,240) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 325 > 12, we apply the division lemma to 325 and 12, to get
325 = 12 x 27 + 1
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 1 and 12, to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 12 and 325 is 1
Notice that 1 = HCF(12,1) = HCF(325,12) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 79 > 1, we apply the division lemma to 79 and 1, to get
79 = 1 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79 is 1
Notice that 1 = HCF(79,1) .
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 240, 348, 325, 79?
Answer: HCF of 240, 348, 325, 79 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 240, 348, 325, 79 using Euclid's Algorithm?
Answer: For arbitrary numbers 240, 348, 325, 79 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.