Highest Common Factor of 779, 658, 662, 600 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, 658, 662, 600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 779, 658, 662, 600 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, 658, 662, 600 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, 658, 662, 600 is 1.
HCF(779, 658, 662, 600) = 1
HCF of 779, 658, 662, 600 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, 658, 662, 600 is 1.
Highest Common Factor of 779,658,662,600 is 1
Step 1: Since 779 > 658, we apply the division lemma to 779 and 658, to get
779 = 658 x 1 + 121
Step 2: Since the reminder 658 ≠ 0, we apply division lemma to 121 and 658, to get
658 = 121 x 5 + 53
Step 3: We consider the new divisor 121 and the new remainder 53, and apply the division lemma to get
121 = 53 x 2 + 15
We consider the new divisor 53 and the new remainder 15,and apply the division lemma to get
53 = 15 x 3 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 779 and 658 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(53,15) = HCF(121,53) = HCF(658,121) = HCF(779,658) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 662 > 1, we apply the division lemma to 662 and 1, to get
662 = 1 x 662 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 662 is 1
Notice that 1 = HCF(662,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 600 > 1, we apply the division lemma to 600 and 1, to get
600 = 1 x 600 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 600 is 1
Notice that 1 = HCF(600,1) .
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Frequently Asked Questions on HCF of 779, 658, 662, 600 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, 658, 662, 600?
Answer: HCF of 779, 658, 662, 600 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 779, 658, 662, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 779, 658, 662, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.