Highest Common Factor of 808, 3478, 1948 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 808, 3478, 1948 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 808, 3478, 1948 is 2 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 808, 3478, 1948 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 808, 3478, 1948 is 2.
HCF(808, 3478, 1948) = 2
HCF of 808, 3478, 1948 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 808, 3478, 1948 is 2.
Highest Common Factor of 808,3478,1948 is 2
Step 1: Since 3478 > 808, we apply the division lemma to 3478 and 808, to get
3478 = 808 x 4 + 246
Step 2: Since the reminder 808 ≠ 0, we apply division lemma to 246 and 808, to get
808 = 246 x 3 + 70
Step 3: We consider the new divisor 246 and the new remainder 70, and apply the division lemma to get
246 = 70 x 3 + 36
We consider the new divisor 70 and the new remainder 36,and apply the division lemma to get
70 = 36 x 1 + 34
We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get
36 = 34 x 1 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 808 and 3478 is 2
Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(70,36) = HCF(246,70) = HCF(808,246) = HCF(3478,808) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1948 > 2, we apply the division lemma to 1948 and 2, to get
1948 = 2 x 974 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 1948 is 2
Notice that 2 = HCF(1948,2) .
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Frequently Asked Questions on HCF of 808, 3478, 1948 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 808, 3478, 1948?
Answer: HCF of 808, 3478, 1948 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 808, 3478, 1948 using Euclid's Algorithm?
Answer: For arbitrary numbers 808, 3478, 1948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.