Highest Common Factor of 7502, 1296 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 7502, 1296 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7502, 1296 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 7502, 1296 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 7502, 1296 is 2.
HCF(7502, 1296) = 2
HCF of 7502, 1296 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7502, 1296 is 2.
Highest Common Factor of 7502,1296 is 2
Step 1: Since 7502 > 1296, we apply the division lemma to 7502 and 1296, to get
7502 = 1296 x 5 + 1022
Step 2: Since the reminder 1296 ≠ 0, we apply division lemma to 1022 and 1296, to get
1296 = 1022 x 1 + 274
Step 3: We consider the new divisor 1022 and the new remainder 274, and apply the division lemma to get
1022 = 274 x 3 + 200
We consider the new divisor 274 and the new remainder 200,and apply the division lemma to get
274 = 200 x 1 + 74
We consider the new divisor 200 and the new remainder 74,and apply the division lemma to get
200 = 74 x 2 + 52
We consider the new divisor 74 and the new remainder 52,and apply the division lemma to get
74 = 52 x 1 + 22
We consider the new divisor 52 and the new remainder 22,and apply the division lemma to get
52 = 22 x 2 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7502 and 1296 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(52,22) = HCF(74,52) = HCF(200,74) = HCF(274,200) = HCF(1022,274) = HCF(1296,1022) = HCF(7502,1296) .
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Frequently Asked Questions on HCF of 7502, 1296 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 7502, 1296?
Answer: HCF of 7502, 1296 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7502, 1296 using Euclid's Algorithm?
Answer: For arbitrary numbers 7502, 1296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.