Highest Common Factor of 7799, 5496 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 7799, 5496 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7799, 5496 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 7799, 5496 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 7799, 5496 is 1.
HCF(7799, 5496) = 1
HCF of 7799, 5496 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7799, 5496 is 1.
Highest Common Factor of 7799,5496 is 1
Step 1: Since 7799 > 5496, we apply the division lemma to 7799 and 5496, to get
7799 = 5496 x 1 + 2303
Step 2: Since the reminder 5496 ≠ 0, we apply division lemma to 2303 and 5496, to get
5496 = 2303 x 2 + 890
Step 3: We consider the new divisor 2303 and the new remainder 890, and apply the division lemma to get
2303 = 890 x 2 + 523
We consider the new divisor 890 and the new remainder 523,and apply the division lemma to get
890 = 523 x 1 + 367
We consider the new divisor 523 and the new remainder 367,and apply the division lemma to get
523 = 367 x 1 + 156
We consider the new divisor 367 and the new remainder 156,and apply the division lemma to get
367 = 156 x 2 + 55
We consider the new divisor 156 and the new remainder 55,and apply the division lemma to get
156 = 55 x 2 + 46
We consider the new divisor 55 and the new remainder 46,and apply the division lemma to get
55 = 46 x 1 + 9
We consider the new divisor 46 and the new remainder 9,and apply the division lemma to get
46 = 9 x 5 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7799 and 5496 is 1
Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(55,46) = HCF(156,55) = HCF(367,156) = HCF(523,367) = HCF(890,523) = HCF(2303,890) = HCF(5496,2303) = HCF(7799,5496) .
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Frequently Asked Questions on HCF of 7799, 5496 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 7799, 5496?
Answer: HCF of 7799, 5496 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7799, 5496 using Euclid's Algorithm?
Answer: For arbitrary numbers 7799, 5496 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
