Highest Common Factor of 756, 4250 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 756, 4250 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 756, 4250 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 756, 4250 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 756, 4250 is 2.
HCF(756, 4250) = 2
HCF of 756, 4250 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 756, 4250 is 2.
Highest Common Factor of 756,4250 is 2
Step 1: Since 4250 > 756, we apply the division lemma to 4250 and 756, to get
4250 = 756 x 5 + 470
Step 2: Since the reminder 756 ≠ 0, we apply division lemma to 470 and 756, to get
756 = 470 x 1 + 286
Step 3: We consider the new divisor 470 and the new remainder 286, and apply the division lemma to get
470 = 286 x 1 + 184
We consider the new divisor 286 and the new remainder 184,and apply the division lemma to get
286 = 184 x 1 + 102
We consider the new divisor 184 and the new remainder 102,and apply the division lemma to get
184 = 102 x 1 + 82
We consider the new divisor 102 and the new remainder 82,and apply the division lemma to get
102 = 82 x 1 + 20
We consider the new divisor 82 and the new remainder 20,and apply the division lemma to get
82 = 20 x 4 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 756 and 4250 is 2
Notice that 2 = HCF(20,2) = HCF(82,20) = HCF(102,82) = HCF(184,102) = HCF(286,184) = HCF(470,286) = HCF(756,470) = HCF(4250,756) .
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Frequently Asked Questions on HCF of 756, 4250 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 756, 4250?
Answer: HCF of 756, 4250 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 756, 4250 using Euclid's Algorithm?
Answer: For arbitrary numbers 756, 4250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.