Highest Common Factor of 779, 8224 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 779, 8224 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 779, 8224 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 779, 8224 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 779, 8224 is 1.
HCF(779, 8224) = 1
HCF of 779, 8224 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 779, 8224 is 1.
Highest Common Factor of 779,8224 is 1
Step 1: Since 8224 > 779, we apply the division lemma to 8224 and 779, to get
8224 = 779 x 10 + 434
Step 2: Since the reminder 779 ≠ 0, we apply division lemma to 434 and 779, to get
779 = 434 x 1 + 345
Step 3: We consider the new divisor 434 and the new remainder 345, and apply the division lemma to get
434 = 345 x 1 + 89
We consider the new divisor 345 and the new remainder 89,and apply the division lemma to get
345 = 89 x 3 + 78
We consider the new divisor 89 and the new remainder 78,and apply the division lemma to get
89 = 78 x 1 + 11
We consider the new divisor 78 and the new remainder 11,and apply the division lemma to get
78 = 11 x 7 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 779 and 8224 is 1
Notice that 1 = HCF(11,1) = HCF(78,11) = HCF(89,78) = HCF(345,89) = HCF(434,345) = HCF(779,434) = HCF(8224,779) .
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Frequently Asked Questions on HCF of 779, 8224 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 779, 8224?
Answer: HCF of 779, 8224 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 779, 8224 using Euclid's Algorithm?
Answer: For arbitrary numbers 779, 8224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.