Highest Common Factor of 6988, 9919 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 6988, 9919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6988, 9919 is 1 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 6988, 9919 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 6988, 9919 is 1.
HCF(6988, 9919) = 1
HCF of 6988, 9919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6988, 9919 is 1.
Highest Common Factor of 6988,9919 is 1
Step 1: Since 9919 > 6988, we apply the division lemma to 9919 and 6988, to get
9919 = 6988 x 1 + 2931
Step 2: Since the reminder 6988 ≠ 0, we apply division lemma to 2931 and 6988, to get
6988 = 2931 x 2 + 1126
Step 3: We consider the new divisor 2931 and the new remainder 1126, and apply the division lemma to get
2931 = 1126 x 2 + 679
We consider the new divisor 1126 and the new remainder 679,and apply the division lemma to get
1126 = 679 x 1 + 447
We consider the new divisor 679 and the new remainder 447,and apply the division lemma to get
679 = 447 x 1 + 232
We consider the new divisor 447 and the new remainder 232,and apply the division lemma to get
447 = 232 x 1 + 215
We consider the new divisor 232 and the new remainder 215,and apply the division lemma to get
232 = 215 x 1 + 17
We consider the new divisor 215 and the new remainder 17,and apply the division lemma to get
215 = 17 x 12 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6988 and 9919 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(215,17) = HCF(232,215) = HCF(447,232) = HCF(679,447) = HCF(1126,679) = HCF(2931,1126) = HCF(6988,2931) = HCF(9919,6988) .
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Frequently Asked Questions on HCF of 6988, 9919 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 6988, 9919?
Answer: HCF of 6988, 9919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6988, 9919 using Euclid's Algorithm?
Answer: For arbitrary numbers 6988, 9919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.