Highest Common Factor of 6250, 7872 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 6250, 7872 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6250, 7872 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 6250, 7872 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 6250, 7872 is 2.
HCF(6250, 7872) = 2
HCF of 6250, 7872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6250, 7872 is 2.
Highest Common Factor of 6250,7872 is 2
Step 1: Since 7872 > 6250, we apply the division lemma to 7872 and 6250, to get
7872 = 6250 x 1 + 1622
Step 2: Since the reminder 6250 ≠ 0, we apply division lemma to 1622 and 6250, to get
6250 = 1622 x 3 + 1384
Step 3: We consider the new divisor 1622 and the new remainder 1384, and apply the division lemma to get
1622 = 1384 x 1 + 238
We consider the new divisor 1384 and the new remainder 238,and apply the division lemma to get
1384 = 238 x 5 + 194
We consider the new divisor 238 and the new remainder 194,and apply the division lemma to get
238 = 194 x 1 + 44
We consider the new divisor 194 and the new remainder 44,and apply the division lemma to get
194 = 44 x 4 + 18
We consider the new divisor 44 and the new remainder 18,and apply the division lemma to get
44 = 18 x 2 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6250 and 7872 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(44,18) = HCF(194,44) = HCF(238,194) = HCF(1384,238) = HCF(1622,1384) = HCF(6250,1622) = HCF(7872,6250) .
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Frequently Asked Questions on HCF of 6250, 7872 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 6250, 7872?
Answer: HCF of 6250, 7872 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6250, 7872 using Euclid's Algorithm?
Answer: For arbitrary numbers 6250, 7872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
