Highest Common Factor of 5308, 2700 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 5308, 2700 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5308, 2700 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 5308, 2700 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 5308, 2700 is 4.
HCF(5308, 2700) = 4
HCF of 5308, 2700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5308, 2700 is 4.
Highest Common Factor of 5308,2700 is 4
Step 1: Since 5308 > 2700, we apply the division lemma to 5308 and 2700, to get
5308 = 2700 x 1 + 2608
Step 2: Since the reminder 2700 ≠ 0, we apply division lemma to 2608 and 2700, to get
2700 = 2608 x 1 + 92
Step 3: We consider the new divisor 2608 and the new remainder 92, and apply the division lemma to get
2608 = 92 x 28 + 32
We consider the new divisor 92 and the new remainder 32,and apply the division lemma to get
92 = 32 x 2 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5308 and 2700 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(92,32) = HCF(2608,92) = HCF(2700,2608) = HCF(5308,2700) .
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Frequently Asked Questions on HCF of 5308, 2700 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 5308, 2700?
Answer: HCF of 5308, 2700 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5308, 2700 using Euclid's Algorithm?
Answer: For arbitrary numbers 5308, 2700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
