Highest Common Factor of 7920, 2074 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 7920, 2074 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7920, 2074 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 7920, 2074 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 7920, 2074 is 2.
HCF(7920, 2074) = 2
HCF of 7920, 2074 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7920, 2074 is 2.
Highest Common Factor of 7920,2074 is 2
Step 1: Since 7920 > 2074, we apply the division lemma to 7920 and 2074, to get
7920 = 2074 x 3 + 1698
Step 2: Since the reminder 2074 ≠ 0, we apply division lemma to 1698 and 2074, to get
2074 = 1698 x 1 + 376
Step 3: We consider the new divisor 1698 and the new remainder 376, and apply the division lemma to get
1698 = 376 x 4 + 194
We consider the new divisor 376 and the new remainder 194,and apply the division lemma to get
376 = 194 x 1 + 182
We consider the new divisor 194 and the new remainder 182,and apply the division lemma to get
194 = 182 x 1 + 12
We consider the new divisor 182 and the new remainder 12,and apply the division lemma to get
182 = 12 x 15 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7920 and 2074 is 2
Notice that 2 = HCF(12,2) = HCF(182,12) = HCF(194,182) = HCF(376,194) = HCF(1698,376) = HCF(2074,1698) = HCF(7920,2074) .
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Frequently Asked Questions on HCF of 7920, 2074 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 7920, 2074?
Answer: HCF of 7920, 2074 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7920, 2074 using Euclid's Algorithm?
Answer: For arbitrary numbers 7920, 2074 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
