Highest Common Factor of 9820, 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 9820, 7056 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9820, 7056 is 4 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 9820, 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 9820, 7056 is 4.
HCF(9820, 7056) = 4
HCF of 9820, 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 9820, 7056 is 4.
Highest Common Factor of 9820,7056 is 4
Step 1: Since 9820 > 7056, we apply the division lemma to 9820 and 7056, to get
9820 = 7056 x 1 + 2764
Step 2: Since the reminder 7056 ≠ 0, we apply division lemma to 2764 and 7056, to get
7056 = 2764 x 2 + 1528
Step 3: We consider the new divisor 2764 and the new remainder 1528, and apply the division lemma to get
2764 = 1528 x 1 + 1236
We consider the new divisor 1528 and the new remainder 1236,and apply the division lemma to get
1528 = 1236 x 1 + 292
We consider the new divisor 1236 and the new remainder 292,and apply the division lemma to get
1236 = 292 x 4 + 68
We consider the new divisor 292 and the new remainder 68,and apply the division lemma to get
292 = 68 x 4 + 20
We consider the new divisor 68 and the new remainder 20,and apply the division lemma to get
68 = 20 x 3 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9820 and 7056 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(68,20) = HCF(292,68) = HCF(1236,292) = HCF(1528,1236) = HCF(2764,1528) = HCF(7056,2764) = HCF(9820,7056) .
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Frequently Asked Questions on HCF of 9820, 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 9820, 7056?
Answer: HCF of 9820, 7056 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9820, 7056 using Euclid's Algorithm?
Answer: For arbitrary numbers 9820, 7056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.