Highest Common Factor of 7930, 2028 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 7930, 2028 i.e. 26 the largest integer that leaves a remainder zero for all numbers.
HCF of 7930, 2028 is 26 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 7930, 2028 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 7930, 2028 is 26.
HCF(7930, 2028) = 26
HCF of 7930, 2028 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7930, 2028 is 26.
Highest Common Factor of 7930,2028 is 26
Step 1: Since 7930 > 2028, we apply the division lemma to 7930 and 2028, to get
7930 = 2028 x 3 + 1846
Step 2: Since the reminder 2028 ≠ 0, we apply division lemma to 1846 and 2028, to get
2028 = 1846 x 1 + 182
Step 3: We consider the new divisor 1846 and the new remainder 182, and apply the division lemma to get
1846 = 182 x 10 + 26
We consider the new divisor 182 and the new remainder 26, and apply the division lemma to get
182 = 26 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 7930 and 2028 is 26
Notice that 26 = HCF(182,26) = HCF(1846,182) = HCF(2028,1846) = HCF(7930,2028) .
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Frequently Asked Questions on HCF of 7930, 2028 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 7930, 2028?
Answer: HCF of 7930, 2028 is 26 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7930, 2028 using Euclid's Algorithm?
Answer: For arbitrary numbers 7930, 2028 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.