Highest Common Factor of 7777, 4795, 76668 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 7777, 4795, 76668 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7777, 4795, 76668 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 7777, 4795, 76668 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 7777, 4795, 76668 is 1.
HCF(7777, 4795, 76668) = 1
HCF of 7777, 4795, 76668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7777, 4795, 76668 is 1.
Highest Common Factor of 7777,4795,76668 is 1
Step 1: Since 7777 > 4795, we apply the division lemma to 7777 and 4795, to get
7777 = 4795 x 1 + 2982
Step 2: Since the reminder 4795 ≠ 0, we apply division lemma to 2982 and 4795, to get
4795 = 2982 x 1 + 1813
Step 3: We consider the new divisor 2982 and the new remainder 1813, and apply the division lemma to get
2982 = 1813 x 1 + 1169
We consider the new divisor 1813 and the new remainder 1169,and apply the division lemma to get
1813 = 1169 x 1 + 644
We consider the new divisor 1169 and the new remainder 644,and apply the division lemma to get
1169 = 644 x 1 + 525
We consider the new divisor 644 and the new remainder 525,and apply the division lemma to get
644 = 525 x 1 + 119
We consider the new divisor 525 and the new remainder 119,and apply the division lemma to get
525 = 119 x 4 + 49
We consider the new divisor 119 and the new remainder 49,and apply the division lemma to get
119 = 49 x 2 + 21
We consider the new divisor 49 and the new remainder 21,and apply the division lemma to get
49 = 21 x 2 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7777 and 4795 is 7
Notice that 7 = HCF(21,7) = HCF(49,21) = HCF(119,49) = HCF(525,119) = HCF(644,525) = HCF(1169,644) = HCF(1813,1169) = HCF(2982,1813) = HCF(4795,2982) = HCF(7777,4795) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76668 > 7, we apply the division lemma to 76668 and 7, to get
76668 = 7 x 10952 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 76668 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(76668,7) .
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Frequently Asked Questions on HCF of 7777, 4795, 76668 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 7777, 4795, 76668?
Answer: HCF of 7777, 4795, 76668 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7777, 4795, 76668 using Euclid's Algorithm?
Answer: For arbitrary numbers 7777, 4795, 76668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.