Highest Common Factor of 1548, 2508 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 1548, 2508 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 1548, 2508 is 12 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 1548, 2508 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 1548, 2508 is 12.
HCF(1548, 2508) = 12
HCF of 1548, 2508 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1548, 2508 is 12.
Highest Common Factor of 1548,2508 is 12
Step 1: Since 2508 > 1548, we apply the division lemma to 2508 and 1548, to get
2508 = 1548 x 1 + 960
Step 2: Since the reminder 1548 ≠ 0, we apply division lemma to 960 and 1548, to get
1548 = 960 x 1 + 588
Step 3: We consider the new divisor 960 and the new remainder 588, and apply the division lemma to get
960 = 588 x 1 + 372
We consider the new divisor 588 and the new remainder 372,and apply the division lemma to get
588 = 372 x 1 + 216
We consider the new divisor 372 and the new remainder 216,and apply the division lemma to get
372 = 216 x 1 + 156
We consider the new divisor 216 and the new remainder 156,and apply the division lemma to get
216 = 156 x 1 + 60
We consider the new divisor 156 and the new remainder 60,and apply the division lemma to get
156 = 60 x 2 + 36
We consider the new divisor 60 and the new remainder 36,and apply the division lemma to get
60 = 36 x 1 + 24
We consider the new divisor 36 and the new remainder 24,and apply the division lemma to get
36 = 24 x 1 + 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 1548 and 2508 is 12
Notice that 12 = HCF(24,12) = HCF(36,24) = HCF(60,36) = HCF(156,60) = HCF(216,156) = HCF(372,216) = HCF(588,372) = HCF(960,588) = HCF(1548,960) = HCF(2508,1548) .
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Frequently Asked Questions on HCF of 1548, 2508 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 1548, 2508?
Answer: HCF of 1548, 2508 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1548, 2508 using Euclid's Algorithm?
Answer: For arbitrary numbers 1548, 2508 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.