Highest Common Factor of 9880, 7984 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 9880, 7984 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 9880, 7984 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 9880, 7984 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 9880, 7984 is 8.
HCF(9880, 7984) = 8
HCF of 9880, 7984 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9880, 7984 is 8.
Highest Common Factor of 9880,7984 is 8
Step 1: Since 9880 > 7984, we apply the division lemma to 9880 and 7984, to get
9880 = 7984 x 1 + 1896
Step 2: Since the reminder 7984 ≠ 0, we apply division lemma to 1896 and 7984, to get
7984 = 1896 x 4 + 400
Step 3: We consider the new divisor 1896 and the new remainder 400, and apply the division lemma to get
1896 = 400 x 4 + 296
We consider the new divisor 400 and the new remainder 296,and apply the division lemma to get
400 = 296 x 1 + 104
We consider the new divisor 296 and the new remainder 104,and apply the division lemma to get
296 = 104 x 2 + 88
We consider the new divisor 104 and the new remainder 88,and apply the division lemma to get
104 = 88 x 1 + 16
We consider the new divisor 88 and the new remainder 16,and apply the division lemma to get
88 = 16 x 5 + 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 9880 and 7984 is 8
Notice that 8 = HCF(16,8) = HCF(88,16) = HCF(104,88) = HCF(296,104) = HCF(400,296) = HCF(1896,400) = HCF(7984,1896) = HCF(9880,7984) .
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Frequently Asked Questions on HCF of 9880, 7984 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 9880, 7984?
Answer: HCF of 9880, 7984 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9880, 7984 using Euclid's Algorithm?
Answer: For arbitrary numbers 9880, 7984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.