Highest Common Factor of 7892, 3670 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 7892, 3670 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7892, 3670 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 7892, 3670 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 7892, 3670 is 2.
HCF(7892, 3670) = 2
HCF of 7892, 3670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7892, 3670 is 2.
Highest Common Factor of 7892,3670 is 2
Step 1: Since 7892 > 3670, we apply the division lemma to 7892 and 3670, to get
7892 = 3670 x 2 + 552
Step 2: Since the reminder 3670 ≠ 0, we apply division lemma to 552 and 3670, to get
3670 = 552 x 6 + 358
Step 3: We consider the new divisor 552 and the new remainder 358, and apply the division lemma to get
552 = 358 x 1 + 194
We consider the new divisor 358 and the new remainder 194,and apply the division lemma to get
358 = 194 x 1 + 164
We consider the new divisor 194 and the new remainder 164,and apply the division lemma to get
194 = 164 x 1 + 30
We consider the new divisor 164 and the new remainder 30,and apply the division lemma to get
164 = 30 x 5 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7892 and 3670 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(164,30) = HCF(194,164) = HCF(358,194) = HCF(552,358) = HCF(3670,552) = HCF(7892,3670) .
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Frequently Asked Questions on HCF of 7892, 3670 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 7892, 3670?
Answer: HCF of 7892, 3670 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7892, 3670 using Euclid's Algorithm?
Answer: For arbitrary numbers 7892, 3670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
