Highest Common Factor of 4449, 8748, 78540 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 4449, 8748, 78540 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4449, 8748, 78540 is 3 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 4449, 8748, 78540 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 4449, 8748, 78540 is 3.
HCF(4449, 8748, 78540) = 3
HCF of 4449, 8748, 78540 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4449, 8748, 78540 is 3.
Highest Common Factor of 4449,8748,78540 is 3
Step 1: Since 8748 > 4449, we apply the division lemma to 8748 and 4449, to get
8748 = 4449 x 1 + 4299
Step 2: Since the reminder 4449 ≠ 0, we apply division lemma to 4299 and 4449, to get
4449 = 4299 x 1 + 150
Step 3: We consider the new divisor 4299 and the new remainder 150, and apply the division lemma to get
4299 = 150 x 28 + 99
We consider the new divisor 150 and the new remainder 99,and apply the division lemma to get
150 = 99 x 1 + 51
We consider the new divisor 99 and the new remainder 51,and apply the division lemma to get
99 = 51 x 1 + 48
We consider the new divisor 51 and the new remainder 48,and apply the division lemma to get
51 = 48 x 1 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4449 and 8748 is 3
Notice that 3 = HCF(48,3) = HCF(51,48) = HCF(99,51) = HCF(150,99) = HCF(4299,150) = HCF(4449,4299) = HCF(8748,4449) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78540 > 3, we apply the division lemma to 78540 and 3, to get
78540 = 3 x 26180 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 78540 is 3
Notice that 3 = HCF(78540,3) .
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Frequently Asked Questions on HCF of 4449, 8748, 78540 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 4449, 8748, 78540?
Answer: HCF of 4449, 8748, 78540 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4449, 8748, 78540 using Euclid's Algorithm?
Answer: For arbitrary numbers 4449, 8748, 78540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.