Highest Common Factor of 4825, 3539, 87871 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 4825, 3539, 87871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4825, 3539, 87871 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 4825, 3539, 87871 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 4825, 3539, 87871 is 1.
HCF(4825, 3539, 87871) = 1
HCF of 4825, 3539, 87871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4825, 3539, 87871 is 1.
Highest Common Factor of 4825,3539,87871 is 1
Step 1: Since 4825 > 3539, we apply the division lemma to 4825 and 3539, to get
4825 = 3539 x 1 + 1286
Step 2: Since the reminder 3539 ≠ 0, we apply division lemma to 1286 and 3539, to get
3539 = 1286 x 2 + 967
Step 3: We consider the new divisor 1286 and the new remainder 967, and apply the division lemma to get
1286 = 967 x 1 + 319
We consider the new divisor 967 and the new remainder 319,and apply the division lemma to get
967 = 319 x 3 + 10
We consider the new divisor 319 and the new remainder 10,and apply the division lemma to get
319 = 10 x 31 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4825 and 3539 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(319,10) = HCF(967,319) = HCF(1286,967) = HCF(3539,1286) = HCF(4825,3539) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87871 > 1, we apply the division lemma to 87871 and 1, to get
87871 = 1 x 87871 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87871 is 1
Notice that 1 = HCF(87871,1) .
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Frequently Asked Questions on HCF of 4825, 3539, 87871 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 4825, 3539, 87871?
Answer: HCF of 4825, 3539, 87871 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4825, 3539, 87871 using Euclid's Algorithm?
Answer: For arbitrary numbers 4825, 3539, 87871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.