Highest Common Factor of 3256, 7248 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 3256, 7248 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 3256, 7248 is 8 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 3256, 7248 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 3256, 7248 is 8.
HCF(3256, 7248) = 8
HCF of 3256, 7248 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3256, 7248 is 8.
Highest Common Factor of 3256,7248 is 8
Step 1: Since 7248 > 3256, we apply the division lemma to 7248 and 3256, to get
7248 = 3256 x 2 + 736
Step 2: Since the reminder 3256 ≠ 0, we apply division lemma to 736 and 3256, to get
3256 = 736 x 4 + 312
Step 3: We consider the new divisor 736 and the new remainder 312, and apply the division lemma to get
736 = 312 x 2 + 112
We consider the new divisor 312 and the new remainder 112,and apply the division lemma to get
312 = 112 x 2 + 88
We consider the new divisor 112 and the new remainder 88,and apply the division lemma to get
112 = 88 x 1 + 24
We consider the new divisor 88 and the new remainder 24,and apply the division lemma to get
88 = 24 x 3 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 3256 and 7248 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(88,24) = HCF(112,88) = HCF(312,112) = HCF(736,312) = HCF(3256,736) = HCF(7248,3256) .
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Frequently Asked Questions on HCF of 3256, 7248 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 3256, 7248?
Answer: HCF of 3256, 7248 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3256, 7248 using Euclid's Algorithm?
Answer: For arbitrary numbers 3256, 7248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.