Highest Common Factor of 2980, 3974 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 2980, 3974 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2980, 3974 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 2980, 3974 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 2980, 3974 is 2.
HCF(2980, 3974) = 2
HCF of 2980, 3974 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2980, 3974 is 2.
Highest Common Factor of 2980,3974 is 2
Step 1: Since 3974 > 2980, we apply the division lemma to 3974 and 2980, to get
3974 = 2980 x 1 + 994
Step 2: Since the reminder 2980 ≠ 0, we apply division lemma to 994 and 2980, to get
2980 = 994 x 2 + 992
Step 3: We consider the new divisor 994 and the new remainder 992, and apply the division lemma to get
994 = 992 x 1 + 2
We consider the new divisor 992 and the new remainder 2, and apply the division lemma to get
992 = 2 x 496 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2980 and 3974 is 2
Notice that 2 = HCF(992,2) = HCF(994,992) = HCF(2980,994) = HCF(3974,2980) .
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Frequently Asked Questions on HCF of 2980, 3974 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 2980, 3974?
Answer: HCF of 2980, 3974 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2980, 3974 using Euclid's Algorithm?
Answer: For arbitrary numbers 2980, 3974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.