Highest Common Factor of 4100, 7952 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 4100, 7952 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4100, 7952 is 4 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 4100, 7952 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 4100, 7952 is 4.
HCF(4100, 7952) = 4
HCF of 4100, 7952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4100, 7952 is 4.
Highest Common Factor of 4100,7952 is 4
Step 1: Since 7952 > 4100, we apply the division lemma to 7952 and 4100, to get
7952 = 4100 x 1 + 3852
Step 2: Since the reminder 4100 ≠ 0, we apply division lemma to 3852 and 4100, to get
4100 = 3852 x 1 + 248
Step 3: We consider the new divisor 3852 and the new remainder 248, and apply the division lemma to get
3852 = 248 x 15 + 132
We consider the new divisor 248 and the new remainder 132,and apply the division lemma to get
248 = 132 x 1 + 116
We consider the new divisor 132 and the new remainder 116,and apply the division lemma to get
132 = 116 x 1 + 16
We consider the new divisor 116 and the new remainder 16,and apply the division lemma to get
116 = 16 x 7 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4100 and 7952 is 4
Notice that 4 = HCF(16,4) = HCF(116,16) = HCF(132,116) = HCF(248,132) = HCF(3852,248) = HCF(4100,3852) = HCF(7952,4100) .
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Frequently Asked Questions on HCF of 4100, 7952 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 4100, 7952?
Answer: HCF of 4100, 7952 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4100, 7952 using Euclid's Algorithm?
Answer: For arbitrary numbers 4100, 7952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.