Highest Common Factor of 3194, 3750 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 3194, 3750 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3194, 3750 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 3194, 3750 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 3194, 3750 is 2.
HCF(3194, 3750) = 2
HCF of 3194, 3750 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3194, 3750 is 2.
Highest Common Factor of 3194,3750 is 2
Step 1: Since 3750 > 3194, we apply the division lemma to 3750 and 3194, to get
3750 = 3194 x 1 + 556
Step 2: Since the reminder 3194 ≠ 0, we apply division lemma to 556 and 3194, to get
3194 = 556 x 5 + 414
Step 3: We consider the new divisor 556 and the new remainder 414, and apply the division lemma to get
556 = 414 x 1 + 142
We consider the new divisor 414 and the new remainder 142,and apply the division lemma to get
414 = 142 x 2 + 130
We consider the new divisor 142 and the new remainder 130,and apply the division lemma to get
142 = 130 x 1 + 12
We consider the new divisor 130 and the new remainder 12,and apply the division lemma to get
130 = 12 x 10 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3194 and 3750 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(130,12) = HCF(142,130) = HCF(414,142) = HCF(556,414) = HCF(3194,556) = HCF(3750,3194) .
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Frequently Asked Questions on HCF of 3194, 3750 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 3194, 3750?
Answer: HCF of 3194, 3750 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3194, 3750 using Euclid's Algorithm?
Answer: For arbitrary numbers 3194, 3750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.