Highest Common Factor of 1250, 2452, 13464 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 1250, 2452, 13464 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1250, 2452, 13464 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 1250, 2452, 13464 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 1250, 2452, 13464 is 2.
HCF(1250, 2452, 13464) = 2
HCF of 1250, 2452, 13464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1250, 2452, 13464 is 2.
Highest Common Factor of 1250,2452,13464 is 2
Step 1: Since 2452 > 1250, we apply the division lemma to 2452 and 1250, to get
2452 = 1250 x 1 + 1202
Step 2: Since the reminder 1250 ≠ 0, we apply division lemma to 1202 and 1250, to get
1250 = 1202 x 1 + 48
Step 3: We consider the new divisor 1202 and the new remainder 48, and apply the division lemma to get
1202 = 48 x 25 + 2
We consider the new divisor 48 and the new remainder 2, and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1250 and 2452 is 2
Notice that 2 = HCF(48,2) = HCF(1202,48) = HCF(1250,1202) = HCF(2452,1250) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13464 > 2, we apply the division lemma to 13464 and 2, to get
13464 = 2 x 6732 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 13464 is 2
Notice that 2 = HCF(13464,2) .
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Frequently Asked Questions on HCF of 1250, 2452, 13464 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 1250, 2452, 13464?
Answer: HCF of 1250, 2452, 13464 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1250, 2452, 13464 using Euclid's Algorithm?
Answer: For arbitrary numbers 1250, 2452, 13464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.