Highest Common Factor of 1940, 3977 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 1940, 3977 i.e. 97 the largest integer that leaves a remainder zero for all numbers.
HCF of 1940, 3977 is 97 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 1940, 3977 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 1940, 3977 is 97.
HCF(1940, 3977) = 97
HCF of 1940, 3977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1940, 3977 is 97.
Highest Common Factor of 1940,3977 is 97
Step 1: Since 3977 > 1940, we apply the division lemma to 3977 and 1940, to get
3977 = 1940 x 2 + 97
Step 2: Since the reminder 1940 ≠ 0, we apply division lemma to 97 and 1940, to get
1940 = 97 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 97, the HCF of 1940 and 3977 is 97
Notice that 97 = HCF(1940,97) = HCF(3977,1940) .
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Frequently Asked Questions on HCF of 1940, 3977 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 1940, 3977?
Answer: HCF of 1940, 3977 is 97 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1940, 3977 using Euclid's Algorithm?
Answer: For arbitrary numbers 1940, 3977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.