Highest Common Factor of 3298, 7056 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 3298, 7056 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3298, 7056 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 3298, 7056 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 3298, 7056 is 2.
HCF(3298, 7056) = 2
HCF of 3298, 7056 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3298, 7056 is 2.
Highest Common Factor of 3298,7056 is 2
Step 1: Since 7056 > 3298, we apply the division lemma to 7056 and 3298, to get
7056 = 3298 x 2 + 460
Step 2: Since the reminder 3298 ≠ 0, we apply division lemma to 460 and 3298, to get
3298 = 460 x 7 + 78
Step 3: We consider the new divisor 460 and the new remainder 78, and apply the division lemma to get
460 = 78 x 5 + 70
We consider the new divisor 78 and the new remainder 70,and apply the division lemma to get
78 = 70 x 1 + 8
We consider the new divisor 70 and the new remainder 8,and apply the division lemma to get
70 = 8 x 8 + 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 3298 and 7056 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(70,8) = HCF(78,70) = HCF(460,78) = HCF(3298,460) = HCF(7056,3298) .
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Frequently Asked Questions on HCF of 3298, 7056 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 3298, 7056?
Answer: HCF of 3298, 7056 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3298, 7056 using Euclid's Algorithm?
Answer: For arbitrary numbers 3298, 7056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.