Highest Common Factor of 848, 636, 124 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 848, 636, 124 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 636, 124 is 4 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 848, 636, 124 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 848, 636, 124 is 4.
HCF(848, 636, 124) = 4
HCF of 848, 636, 124 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 636, 124 is 4.
Highest Common Factor of 848,636,124 is 4
Step 1: Since 848 > 636, we apply the division lemma to 848 and 636, to get
848 = 636 x 1 + 212
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 212 and 636, to get
636 = 212 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 212, the HCF of 848 and 636 is 212
Notice that 212 = HCF(636,212) = HCF(848,636) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 212 > 124, we apply the division lemma to 212 and 124, to get
212 = 124 x 1 + 88
Step 2: Since the reminder 124 ≠ 0, we apply division lemma to 88 and 124, to get
124 = 88 x 1 + 36
Step 3: We consider the new divisor 88 and the new remainder 36, and apply the division lemma to get
88 = 36 x 2 + 16
We consider the new divisor 36 and the new remainder 16,and apply the division lemma to get
36 = 16 x 2 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 212 and 124 is 4
Notice that 4 = HCF(16,4) = HCF(36,16) = HCF(88,36) = HCF(124,88) = HCF(212,124) .
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Frequently Asked Questions on HCF of 848, 636, 124 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 848, 636, 124?
Answer: HCF of 848, 636, 124 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 636, 124 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 636, 124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.