Highest Common Factor of 826, 310, 272 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 826, 310, 272 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 310, 272 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 826, 310, 272 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 826, 310, 272 is 2.
HCF(826, 310, 272) = 2
HCF of 826, 310, 272 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 826, 310, 272 is 2.
Highest Common Factor of 826,310,272 is 2
Step 1: Since 826 > 310, we apply the division lemma to 826 and 310, to get
826 = 310 x 2 + 206
Step 2: Since the reminder 310 ≠ 0, we apply division lemma to 206 and 310, to get
310 = 206 x 1 + 104
Step 3: We consider the new divisor 206 and the new remainder 104, and apply the division lemma to get
206 = 104 x 1 + 102
We consider the new divisor 104 and the new remainder 102,and apply the division lemma to get
104 = 102 x 1 + 2
We consider the new divisor 102 and the new remainder 2,and apply the division lemma to get
102 = 2 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 826 and 310 is 2
Notice that 2 = HCF(102,2) = HCF(104,102) = HCF(206,104) = HCF(310,206) = HCF(826,310) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 272 > 2, we apply the division lemma to 272 and 2, to get
272 = 2 x 136 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 272 is 2
Notice that 2 = HCF(272,2) .
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Frequently Asked Questions on HCF of 826, 310, 272 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 826, 310, 272?
Answer: HCF of 826, 310, 272 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 310, 272 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 310, 272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.