Highest Common Factor of 848, 85374 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 848, 85374 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 85374 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 848, 85374 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 848, 85374 is 2.
HCF(848, 85374) = 2
HCF of 848, 85374 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 85374 is 2.
Highest Common Factor of 848,85374 is 2
Step 1: Since 85374 > 848, we apply the division lemma to 85374 and 848, to get
85374 = 848 x 100 + 574
Step 2: Since the reminder 848 ≠ 0, we apply division lemma to 574 and 848, to get
848 = 574 x 1 + 274
Step 3: We consider the new divisor 574 and the new remainder 274, and apply the division lemma to get
574 = 274 x 2 + 26
We consider the new divisor 274 and the new remainder 26,and apply the division lemma to get
274 = 26 x 10 + 14
We consider the new divisor 26 and the new remainder 14,and apply the division lemma to get
26 = 14 x 1 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 848 and 85374 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(26,14) = HCF(274,26) = HCF(574,274) = HCF(848,574) = HCF(85374,848) .
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Frequently Asked Questions on HCF of 848, 85374 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 848, 85374?
Answer: HCF of 848, 85374 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 85374 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 85374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
