Highest Common Factor of 1925, 4996 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 1925, 4996 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1925, 4996 is 1 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 1925, 4996 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 1925, 4996 is 1.
HCF(1925, 4996) = 1
HCF of 1925, 4996 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1925, 4996 is 1.
Highest Common Factor of 1925,4996 is 1
Step 1: Since 4996 > 1925, we apply the division lemma to 4996 and 1925, to get
4996 = 1925 x 2 + 1146
Step 2: Since the reminder 1925 ≠ 0, we apply division lemma to 1146 and 1925, to get
1925 = 1146 x 1 + 779
Step 3: We consider the new divisor 1146 and the new remainder 779, and apply the division lemma to get
1146 = 779 x 1 + 367
We consider the new divisor 779 and the new remainder 367,and apply the division lemma to get
779 = 367 x 2 + 45
We consider the new divisor 367 and the new remainder 45,and apply the division lemma to get
367 = 45 x 8 + 7
We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get
45 = 7 x 6 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1925 and 4996 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(367,45) = HCF(779,367) = HCF(1146,779) = HCF(1925,1146) = HCF(4996,1925) .
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Frequently Asked Questions on HCF of 1925, 4996 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 1925, 4996?
Answer: HCF of 1925, 4996 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1925, 4996 using Euclid's Algorithm?
Answer: For arbitrary numbers 1925, 4996 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.