Highest Common Factor of 925, 7926, 3949 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 925, 7926, 3949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 7926, 3949 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 925, 7926, 3949 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 925, 7926, 3949 is 1.
HCF(925, 7926, 3949) = 1
HCF of 925, 7926, 3949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 7926, 3949 is 1.
Highest Common Factor of 925,7926,3949 is 1
Step 1: Since 7926 > 925, we apply the division lemma to 7926 and 925, to get
7926 = 925 x 8 + 526
Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 526 and 925, to get
925 = 526 x 1 + 399
Step 3: We consider the new divisor 526 and the new remainder 399, and apply the division lemma to get
526 = 399 x 1 + 127
We consider the new divisor 399 and the new remainder 127,and apply the division lemma to get
399 = 127 x 3 + 18
We consider the new divisor 127 and the new remainder 18,and apply the division lemma to get
127 = 18 x 7 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 7926 is 1
Notice that 1 = HCF(18,1) = HCF(127,18) = HCF(399,127) = HCF(526,399) = HCF(925,526) = HCF(7926,925) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3949 > 1, we apply the division lemma to 3949 and 1, to get
3949 = 1 x 3949 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3949 is 1
Notice that 1 = HCF(3949,1) .
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Frequently Asked Questions on HCF of 925, 7926, 3949 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 925, 7926, 3949?
Answer: HCF of 925, 7926, 3949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 7926, 3949 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 7926, 3949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
