Highest Common Factor of 3477, 7890 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 3477, 7890 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3477, 7890 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 3477, 7890 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 3477, 7890 is 3.
HCF(3477, 7890) = 3
HCF of 3477, 7890 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3477, 7890 is 3.
Highest Common Factor of 3477,7890 is 3
Step 1: Since 7890 > 3477, we apply the division lemma to 7890 and 3477, to get
7890 = 3477 x 2 + 936
Step 2: Since the reminder 3477 ≠ 0, we apply division lemma to 936 and 3477, to get
3477 = 936 x 3 + 669
Step 3: We consider the new divisor 936 and the new remainder 669, and apply the division lemma to get
936 = 669 x 1 + 267
We consider the new divisor 669 and the new remainder 267,and apply the division lemma to get
669 = 267 x 2 + 135
We consider the new divisor 267 and the new remainder 135,and apply the division lemma to get
267 = 135 x 1 + 132
We consider the new divisor 135 and the new remainder 132,and apply the division lemma to get
135 = 132 x 1 + 3
We consider the new divisor 132 and the new remainder 3,and apply the division lemma to get
132 = 3 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3477 and 7890 is 3
Notice that 3 = HCF(132,3) = HCF(135,132) = HCF(267,135) = HCF(669,267) = HCF(936,669) = HCF(3477,936) = HCF(7890,3477) .
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Frequently Asked Questions on HCF of 3477, 7890 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 3477, 7890?
Answer: HCF of 3477, 7890 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3477, 7890 using Euclid's Algorithm?
Answer: For arbitrary numbers 3477, 7890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.