Highest Common Factor of 300, 600, 240, 784 using Euclid's algorithm
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 300, 600, 240, 784 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 300, 600, 240, 784 is 4 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 300, 600, 240, 784 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 300, 600, 240, 784 is 4.
HCF(300, 600, 240, 784) = 4
HCF of 300, 600, 240, 784 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 300, 600, 240, 784 is 4.
Highest Common Factor of 300,600,240,784 is 4
Step 1: Since 600 > 300, we apply the division lemma to 600 and 300, to get
600 = 300 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 300, the HCF of 300 and 600 is 300
Notice that 300 = HCF(600,300) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 300 > 240, we apply the division lemma to 300 and 240, to get
300 = 240 x 1 + 60
Step 2: Since the reminder 240 ≠ 0, we apply division lemma to 60 and 240, to get
240 = 60 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 60, the HCF of 300 and 240 is 60
Notice that 60 = HCF(240,60) = HCF(300,240) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 784 > 60, we apply the division lemma to 784 and 60, to get
784 = 60 x 13 + 4
Step 2: Since the reminder 60 ≠ 0, we apply division lemma to 4 and 60, to get
60 = 4 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 60 and 784 is 4
Notice that 4 = HCF(60,4) = HCF(784,60) .
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Frequently Asked Questions on HCF of 300, 600, 240, 784 using Euclid's Algorithm
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 300, 600, 240, 784?
Answer: HCF of 300, 600, 240, 784 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 300, 600, 240, 784 using Euclid's Algorithm?
Answer: For arbitrary numbers 300, 600, 240, 784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.