Highest Common Factor of 7858, 7188 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 7858, 7188 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7858, 7188 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 7858, 7188 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 7858, 7188 is 2.
HCF(7858, 7188) = 2
HCF of 7858, 7188 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7858, 7188 is 2.
Highest Common Factor of 7858,7188 is 2
Step 1: Since 7858 > 7188, we apply the division lemma to 7858 and 7188, to get
7858 = 7188 x 1 + 670
Step 2: Since the reminder 7188 ≠ 0, we apply division lemma to 670 and 7188, to get
7188 = 670 x 10 + 488
Step 3: We consider the new divisor 670 and the new remainder 488, and apply the division lemma to get
670 = 488 x 1 + 182
We consider the new divisor 488 and the new remainder 182,and apply the division lemma to get
488 = 182 x 2 + 124
We consider the new divisor 182 and the new remainder 124,and apply the division lemma to get
182 = 124 x 1 + 58
We consider the new divisor 124 and the new remainder 58,and apply the division lemma to get
124 = 58 x 2 + 8
We consider the new divisor 58 and the new remainder 8,and apply the division lemma to get
58 = 8 x 7 + 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 7858 and 7188 is 2
Notice that 2 = HCF(8,2) = HCF(58,8) = HCF(124,58) = HCF(182,124) = HCF(488,182) = HCF(670,488) = HCF(7188,670) = HCF(7858,7188) .
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Frequently Asked Questions on HCF of 7858, 7188 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 7858, 7188?
Answer: HCF of 7858, 7188 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7858, 7188 using Euclid's Algorithm?
Answer: For arbitrary numbers 7858, 7188 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.