Highest Common Factor of 309, 65, 239, 625 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 309, 65, 239, 625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 309, 65, 239, 625 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 309, 65, 239, 625 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 309, 65, 239, 625 is 1.
HCF(309, 65, 239, 625) = 1
HCF of 309, 65, 239, 625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 309, 65, 239, 625 is 1.
Highest Common Factor of 309,65,239,625 is 1
Step 1: Since 309 > 65, we apply the division lemma to 309 and 65, to get
309 = 65 x 4 + 49
Step 2: Since the reminder 65 ≠ 0, we apply division lemma to 49 and 65, to get
65 = 49 x 1 + 16
Step 3: We consider the new divisor 49 and the new remainder 16, and apply the division lemma to get
49 = 16 x 3 + 1
We consider the new divisor 16 and the new remainder 1, and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 309 and 65 is 1
Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(65,49) = HCF(309,65) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 239 > 1, we apply the division lemma to 239 and 1, to get
239 = 1 x 239 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 239 is 1
Notice that 1 = HCF(239,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 625 > 1, we apply the division lemma to 625 and 1, to get
625 = 1 x 625 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 625 is 1
Notice that 1 = HCF(625,1) .
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Frequently Asked Questions on HCF of 309, 65, 239, 625 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 309, 65, 239, 625?
Answer: HCF of 309, 65, 239, 625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 309, 65, 239, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 309, 65, 239, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
