Highest Common Factor of 9944, 5192 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 9944, 5192 i.e. 88 the largest integer that leaves a remainder zero for all numbers.
HCF of 9944, 5192 is 88 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 9944, 5192 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 9944, 5192 is 88.
HCF(9944, 5192) = 88
HCF of 9944, 5192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9944, 5192 is 88.
Highest Common Factor of 9944,5192 is 88
Step 1: Since 9944 > 5192, we apply the division lemma to 9944 and 5192, to get
9944 = 5192 x 1 + 4752
Step 2: Since the reminder 5192 ≠ 0, we apply division lemma to 4752 and 5192, to get
5192 = 4752 x 1 + 440
Step 3: We consider the new divisor 4752 and the new remainder 440, and apply the division lemma to get
4752 = 440 x 10 + 352
We consider the new divisor 440 and the new remainder 352,and apply the division lemma to get
440 = 352 x 1 + 88
We consider the new divisor 352 and the new remainder 88,and apply the division lemma to get
352 = 88 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 88, the HCF of 9944 and 5192 is 88
Notice that 88 = HCF(352,88) = HCF(440,352) = HCF(4752,440) = HCF(5192,4752) = HCF(9944,5192) .
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Frequently Asked Questions on HCF of 9944, 5192 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 9944, 5192?
Answer: HCF of 9944, 5192 is 88 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9944, 5192 using Euclid's Algorithm?
Answer: For arbitrary numbers 9944, 5192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.