Highest Common Factor of 879, 993, 770, 578 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 879, 993, 770, 578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 993, 770, 578 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 879, 993, 770, 578 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 879, 993, 770, 578 is 1.
HCF(879, 993, 770, 578) = 1
HCF of 879, 993, 770, 578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 879, 993, 770, 578 is 1.
Highest Common Factor of 879,993,770,578 is 1
Step 1: Since 993 > 879, we apply the division lemma to 993 and 879, to get
993 = 879 x 1 + 114
Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 114 and 879, to get
879 = 114 x 7 + 81
Step 3: We consider the new divisor 114 and the new remainder 81, and apply the division lemma to get
114 = 81 x 1 + 33
We consider the new divisor 81 and the new remainder 33,and apply the division lemma to get
81 = 33 x 2 + 15
We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get
33 = 15 x 2 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 879 and 993 is 3
Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(81,33) = HCF(114,81) = HCF(879,114) = HCF(993,879) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 770 > 3, we apply the division lemma to 770 and 3, to get
770 = 3 x 256 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 770 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(770,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 578 > 1, we apply the division lemma to 578 and 1, to get
578 = 1 x 578 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 578 is 1
Notice that 1 = HCF(578,1) .
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Frequently Asked Questions on HCF of 879, 993, 770, 578 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 879, 993, 770, 578?
Answer: HCF of 879, 993, 770, 578 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 993, 770, 578 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 993, 770, 578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.