Highest Common Factor of 7704, 9892 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 7704, 9892 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7704, 9892 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 7704, 9892 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 7704, 9892 is 4.
HCF(7704, 9892) = 4
HCF of 7704, 9892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7704, 9892 is 4.
Highest Common Factor of 7704,9892 is 4
Step 1: Since 9892 > 7704, we apply the division lemma to 9892 and 7704, to get
9892 = 7704 x 1 + 2188
Step 2: Since the reminder 7704 ≠ 0, we apply division lemma to 2188 and 7704, to get
7704 = 2188 x 3 + 1140
Step 3: We consider the new divisor 2188 and the new remainder 1140, and apply the division lemma to get
2188 = 1140 x 1 + 1048
We consider the new divisor 1140 and the new remainder 1048,and apply the division lemma to get
1140 = 1048 x 1 + 92
We consider the new divisor 1048 and the new remainder 92,and apply the division lemma to get
1048 = 92 x 11 + 36
We consider the new divisor 92 and the new remainder 36,and apply the division lemma to get
92 = 36 x 2 + 20
We consider the new divisor 36 and the new remainder 20,and apply the division lemma to get
36 = 20 x 1 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7704 and 9892 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(36,20) = HCF(92,36) = HCF(1048,92) = HCF(1140,1048) = HCF(2188,1140) = HCF(7704,2188) = HCF(9892,7704) .
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Frequently Asked Questions on HCF of 7704, 9892 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 7704, 9892?
Answer: HCF of 7704, 9892 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7704, 9892 using Euclid's Algorithm?
Answer: For arbitrary numbers 7704, 9892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.